Relevant bibliographies by topics / Finite soluble groups

Academic literature on the topic 'Finite soluble groups'

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Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Finite soluble groups"

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Stonehewer, S. E. "FINITE SOLUBLE GROUPS." Bulletin of the London Mathematical Society 25, no. 5 (September 1993): 505–6. http://dx.doi.org/10.1112/blms/25.5.505.

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Adarchenko, N. M. "A new characterization of finite σ-soluble PσT-groups." Algebra and Discrete Mathematics 29, no. 1 (2020): 33–41. http://dx.doi.org/10.12958/adm1530.

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Huang, J., B. Hu, and A. N. Skiba. "Finite generalized soluble groups." Algebra i logika 58, no. 2 (July 9, 2019): 252–70. http://dx.doi.org/10.33048/alglog.2019.58.207.

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Huang, J., B. Hu, and A. N. Skiba. "Finite Generalized Soluble Groups." Algebra and Logic 58, no. 2 (May 2019): 173–85. http://dx.doi.org/10.1007/s10469-019-09535-1.

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Kovács, L. G., and Hyo-Seob Sim. "Generating finite soluble groups." Indagationes Mathematicae 2, no. 2 (June 1991): 229–32. http://dx.doi.org/10.1016/0019-3577(91)90009-v.

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WILSON, JOHN S. "FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS." Journal of the London Mathematical Society 74, no. 03 (December 2006): 566–82. http://dx.doi.org/10.1112/s0024610706023106.

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Praeger, Cheryl E. "Book Review: Finite soluble groups." Bulletin of the American Mathematical Society 29, no. 1 (July 1, 1993): 104–7. http://dx.doi.org/10.1090/s0273-0979-1993-00388-4.

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Li, Cai Heng. "Finite CI-Groups are Soluble." Bulletin of the London Mathematical Society 31, no. 4 (July 1999): 419–23. http://dx.doi.org/10.1112/s0024609399005901.

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Ballester-Bolinches, A., and M. D. Pérez-Ramos. "Permutability in finite soluble groups." Mathematical Proceedings of the Cambridge Philosophical Society 115, no. 3 (May 1994): 393–96. http://dx.doi.org/10.1017/s0305004100072182.

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Let G be a finite soluble group and let Σ be a Hall system of G. A subgroup U of G is said to be Σ-permutable if U permutes with every member of Σ. In [1; I, 4·29] it is proved that if U and V are Σ-permutable subgroups of G then so also are U ∩ V and 〈U, V〉.
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Linnell, P. A. "Cohomology of finite soluble groups." Journal of Algebra 107, no. 1 (April 1987): 53–62. http://dx.doi.org/10.1016/0021-8693(87)90072-x.

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Dissertations / Theses on the topic "Finite soluble groups"

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Wetherell, Chris. "Subnormal structure of finite soluble groups." View thesis entry in Australian Digital Theses Program, 2001. http://thesis.anu.edu.au/public/adt-ANU20020607.121248/index.html.

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Wetherell, Chris, and chrisw@wintermute anu edu au. "Subnormal Structure of Finite Soluble Groups." The Australian National University. Faculty of Science, 2001. http://thesis.anu.edu.au./public/adt-ANU20020607.121248.

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The Wielandt subgroup, the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure. Another measure, akin to the nilpotency class of nilpotent groups, arises from the strong Wielandt subgroup, the intersection of centralizers of nilpotent subnormal sections. This thesis begins an investigation into how these two invariants relate in finite soluble groups. ¶ Complete results are obtained for metabelian groups of odd order: the strong Wielandt length of such a group is at most one more than its Wielandt length, and this bound is best possible. Some progress is made in the wider class of groups with p-length 1 for all primes p. A conjecture for all finite soluble groups, which may be regarded as a subnormal analogue of the embedding of the Kern, is also considered.
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Carr, Ben. "Model subgroups of finite soluble groups." Thesis, University of Warwick, 1998. http://wrap.warwick.ac.uk/111070/.

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In this thesis we begin the study of finite groups possessing a model subgroup, where a model subgroup H of a finite group G is defined to be a subgroup satisfying 〖1H〗^(↑G)=∑_(x∊∕π(G))▒X We show that a finite nilpotent group possesses a model subgroup if and only if it is abelian and that a Frobenius group with Frobenius complement C and Frobenius kernel N possesses a model subgroup if and only if (a) N is elementary abelian of order r". (b) C is cyclic of order (r" — 1 )/(rd — 1), for some d dividing n. (c) The finite field F=Frn has an additive abelian subgroup HF of order rd satisfying NormF/K(HF) =K, where K=Frd. We then go on to conjecture that a finite soluble group G possessing a model subgroup is either metabelian or has a normal subgroup N such that G/N is a Frobenius group with cyclic Frobenius complement of order 2" +1 and elementary abelian Frobenius kernel of order 22". We consider a series of cases that need to be excluded in order to prove the conjecture and present some examples that shed light on the problems still to be overcome.
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Wegner, Alexander. "The construction of finite soluble factor groups of finitely presented groups and its application." Thesis, University of St Andrews, 1992. http://hdl.handle.net/10023/12600.

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Computational group theory deals with the design, analysis and computer implementation of algorithms for solving computational problems involving groups, and with the applications of the programs produced to interesting questions in group theory, in other branches of mathematics, and in other areas of science. This thesis describes an implementation of a proposal for a Soluble Quotient Algorithm, i.e. a description of the algorithms used and a report on the findings of an empirical study of the behaviour of the programs, and gives an account of an application of the programs. The programs were used for the construction of soluble groups with interesting properties, e.g. for the construction of soluble groups of large derived length which seem to be candidates for groups having efficient presentations. New finite soluble groups of derived length six with trivial Schur multiplier and efficient presentations are described. The methods for finding efficient presentations proved to be only practicable for groups of moderate order. Therefore, for a given derived length soluble groups of small order are of interest. The minimal soluble groups of derived length less than or equal to six are classified.
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Crawley-Boevey, W. W. "Polycyclic-by-finite affine group schemes and infinite soluble groups." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.372868.

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Tresch, Achim. "Generalized soluble groups of finite co-central rank." [S.l. : s.n.], 2002. http://ArchiMeD.uni-mainz.de/pub/2002/0130/diss.pdf.

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Wilson, Andrew Philip. "The strong containment lattice of Schunck classes of finite soluble groups." Thesis, University of Warwick, 1985. http://wrap.warwick.ac.uk/73526/.

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This thesis is an investigation into some of the lattice properties of the strong containment lattice (H, «) of Schunck classes and also of its important sublattice (D, «). The general aim is to characterise lattice properties of Schunck classes by avoidance class properties. Our main result, Theorem 8.5, is an avoidance class characterisation of those D-classes all of whose maximal ascending proper chains of Q-classes to S have the,same length. The problem extended to H is much more difficult but in Corollary 4.3 we describe an avoidance class condition for a Schunck class only to have chains of finite length to S. The lack of duality in H shows up clearly in section 3. The fascinating problem of deciding whether or not H is atomic is considered in section 9. Our results suggest that it probably is since any counterexample must be very complicated.
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McIver, A. "Finitely generated non-Hopf models." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235060.

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Wilde, Thomas Stephen. "Cohomology and the subgroup structure of a finite soluble group." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/35510/.

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The main topic of this thesis is the discovery and study of a cohomological property of the subgroups called F-normalizers in finite soluble groups; namely, the property that with certain coefficient modules the restriction map in cohomology from a soluble group to its F-normalizers vanishes in non-zero degrees. Chapter 3 is devoted to a proof of this fact It turns out that in some classes of soluble groups the F-normalizers are characterized by this property, and the study of these classes occupies Chapters 4 and 5. Various connections with cohomology and group theory are found; the approach seems to offer some unification of disparate results from the theory of soluble groups. The relation between F-normalizers and cohomology was discovered through study of the work of Jacques Thevenaz on the action of a soluble group on its lattice of subgroups. Chapter 1 is a summary of this work and its background, and is included to provide motivation. A link with the rest of the thesis arises through a new result, in which certain subgroups crucial to Thevenaz's analysis of soluble groups are shown to coincide with their system normalizers. A proof of this is given in Chapter 2, which also contains some miscellaneous results on soluble groups from the class considered by Thevenaz, comprising those groups whose lattices of subgroups are complemented. The problem of characterizing F-normalizers in soluble groups by the results of Chapter 3 is proposed in Chapter 4, and in Chapters 4 and 5 two essentially different approaches to this problem are taken, which lead to partial solutions in different sets of circumstances. In Chapter 4, the first cohomology groups of soluble groups are considered, and an application is given to a proof of a recent theorem of Volkmar Welker described in Chapter 1 on the homotopy type of the partially ordered set of conjugacy classes of subgroups of a soluble group. Another application is to the study of local conjugacy of subgroups of soluble groups, and these are combined in a result which shows that the set of conjugacy classes considered by Welker is homotopy equivalent to an analogous set obtained from local conjugacy classes. In Chapter 5 some known results on the local conjugacy of F-normalizers are exhibited, as evidence for a cohomological characterization of these subgroups. The results are used to study groups of p-length one by a 'local' analysis, whereby the problem of characterizing F-normalizers is translated into a question concerning the action of automorphisms on the cohomology rings of p-groups. In the study of this question a natural place to start is the case of abelian groups, whose cohomology rings are known; calculations in this case lead to results on the F-normalizers of A-groups. The question is then considered for other p-groups, revealing an elegant relationship between the cohomology of p-groups, the theory of varieties, and some well-known results on automorphisms of p-groups.
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Lima, Francismar Ferreira 1985. "Pontos fixos por grupos finitos agindo sobre grupos solúveis de tipo FP infinito." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306924.

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Orientador: Dessislava Hristova Kochloukova
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Books on the topic "Finite soluble groups"

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1936-, Hawkes Trevor O., ed. Finite soluble groups. Berlin: W. de Gruyter, 1992.

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Carr, Ben. Model subgroups of finite soluble groups. [s.l.]: typescript, 1998.

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Wilson, Andrew Philip. The strong containment lattice of Schunck classes of finite soluble groups. [s.l.]: typescript, 1985.

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Rae, Andrew. The restriction map for cohomology and Sylow theory in soluble locally finite groups. Uxbridge: Brunel University, Department of Mathematics and Statistics, 1990.

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Wilde, Thomas Stephen. Cohomology and the subgroup structure of a finite soluble group. [s.l.]: typescript, 1992.

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Cazzola, Marina. Local character degrees and the derived length of a finite soluble group. [s.l.]: typescript, 1995.

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Doerk, Klaus, and Trevor O. Hawkes. Finite Soluble Groups. de Gruyter GmbH, Walter, 2011.

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Book chapters on the topic "Finite soluble groups"

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Robinson, Derek J. S. "Finite Soluble Groups." In A Course in the Theory of Groups, 252–84. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4419-8594-1_9.

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Robinson, Derek J. S. "Finite Soluble Groups." In A Course in the Theory of Groups, 245–75. New York, NY: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4684-0128-8_9.

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Eick, Battina. "Special presentations for finite soluble groups and computing (pre-)Frattini subgroups." In Groups and Computation II, 101–12. Providence, Rhode Island: American Mathematical Society, 1997. http://dx.doi.org/10.1090/dimacs/028/08.

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Ballester-Bolinches, A., R. Esteban-Romero, and H. Meng. "On Large Orbits of Actions of Finite Soluble Groups: Applications." In Recent Advances in Pure and Applied Mathematics, 105–13. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41321-7_8.

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"Chapter A Prerequisites — general group theory." In Finite Soluble Groups, 1–89. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.1.

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"Chapter I. Introduction to soluble groups." In Finite Soluble Groups, 204–61. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.204.

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"Chapter II Classes of groups and closure operations." In Finite Soluble Groups, 262–78. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.262.

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"Chapter III. Projectors and Schunck classes." In Finite Soluble Groups, 279–332. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.279.

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"Chapter IV. The theory of formations." In Finite Soluble Groups, 333–93. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.333.

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"Chapter V. Normalizers." In Finite Soluble Groups, 394–425. De Gruyter, 1992. http://dx.doi.org/10.1515/9783110870138.394.

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Conference papers on the topic "Finite soluble groups"

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DIXON, MARTYN R., MARTIN J. EVANS, and HOWARD SMITH. "Some simple locally (soluble-by-finite) groups." In Proceedings of the Conference. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814277808_0006.

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Guo, Wenbin, Vasilii G. Safonov, and Alexander N. Skiba. "On Some Constructions and Results of the Theory of Partially Soluble Finite Groups." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0019.

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Khan, Suhail Ahmad, V. Jagannathan, and R. P. Jain. "IAEA CRP Benchmark of Kalinin VVER-1000 NPP: An Analysis Using EXCEL-TRIHEX-FA Code System." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48613.

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Two units of VVER-1000Mwe reactors are in an advanced stage of construction at Kudankulam, Tamilnadu, India. With a view to assess the capability of analyzing the physics characteristics of VVER cores, the IAEA CRP benchmark problem of Kalinin VVER-1000 MWe NPP [1] is studied using the indigenous code system EXCEL-TRIHEX-FA [2,3]. The lattice burnup code EXCEL is based on a combination of 1-D multigroup transport theory and 2-D few group diffusion theory. Nuclear data in 172 group WIMS-D format based on JEFF-3.1 [4] has been used in the present analysis. The core level calculations are performed using the code TRIHEX-FA which solves the 3-D multigroup diffusion equation using the finite difference method with fine triangular meshes. Power dependent feedback models for xenon, Doppler, coolant temperature and density values have been incorporated in TRIHEX-FA. Keff for the critical soluble boron concentration, assembly power distribution and axial power distribution are calculated as a function of fuel cycle burnup. In the present paper, lattice level results are compared with the results of other participants reported in Ref. [1]. The results of core level calculations have been compared with the experimental data provided [1].
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Drudy, Keith J., Toshio Morita, and Barbara T. Connelley. "Robustness of the MSHIM Operation and Control Strategy in the AP1000 Design." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75314.

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The Westinghouse AP1000™ nuclear power plant design uses several evolutionary and advanced components, systems and analysis methods in order to maximize plant operational safety and efficiency. One advanced component of the AP1000 is the integration of the MSHIM operation and control strategy within the plant design. As a summary, the MSHIM operation and control strategy is an operational philosophy that has evolved from the Constant Axial Offset Control (CAOC) strategy, which was originally developed for the current generation of Westinghouse PWRs. The term MSHIM is derived from the fact that reactivity control uses low worth (or gray) control rod banks as a “mechanical shim.” This is opposed to today’s PWRs, which depend largely on changes in the chemical shim (soluble boron) concentration in the reactor coolant in order to provide fine reactivity control. The MSHIM strategy is unique in that it makes use of two independently controlled rod groups to provide fine control of both the core reactivity and axial power distribution during a wide range of operational scenarios. In the AP1000, the MSHIM operation and control strategy has been fully integrated into the digital rod control system. Specifically, automatic control of core reactivity (or RCS temperature) is provided using four (4) banks of “gray” control rods and two (2) banks of traditional control rods, all moving in a defined overlap. Furthermore, automatic axial power distribution (i.e., ex-core ΔI) control is provided using a single, heavy bank of traditional control rods which move independently of the reactivity control banks. It has been demonstrated that fine control of core reactivity and axial power distribution control can be achieved during a wide range of operational scenarios while relying only upon the automatic rod control functionality. Changes in the concentration of the chemical shim within the reactor coolant can thus be limited to only that required to directly compensate fuel and/or burnable absorber depletion during a given fuel cycle. In the AP1000, the MSHIM operation and control strategy is complemented by the BEACON™ on-line core monitoring system. BEACON provides direct monitoring of power distribution related parameters such as departure from nucleate boiling ratio (DNBR), peak linear heat rate (PLHR), and shutdown margin (SDM). The integration of the BEACON monitoring system into the AP1000 plant increases operational flexibility by relaxing certain operational limits during BEACON operation. The net effect of BEACON integration, thus, is to maximize the ability of rod control under the MSHIM strategy to maintain reactor operation within the associated technical specification limits, even under adverse operational transients. This paper explores the robustness of the MSHIM operation and control strategy under a range of anticipated plant operational scenarios. Furthermore, this paper demonstrates the operational simplification associated with this strategy as it has been integrated into the AP1000 plant control systems.
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Reports on the topic "Finite soluble groups"

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Russo, David, Daniel M. Tartakovsky, and Shlomo P. Neuman. Development of Predictive Tools for Contaminant Transport through Variably-Saturated Heterogeneous Composite Porous Formations. United States Department of Agriculture, December 2012. http://dx.doi.org/10.32747/2012.7592658.bard.

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The vadose (unsaturated) zone forms a major hydrologic link between the ground surface and underlying aquifers. To understand properly its role in protecting groundwater from near surface sources of contamination, one must be able to analyze quantitatively water flow and contaminant transport in variably saturated subsurface environments that are highly heterogeneous, often consisting of multiple geologic units and/or high and/or low permeability inclusions. The specific objectives of this research were: (i) to develop efficient and accurate tools for probabilistic delineation of dominant geologic features comprising the vadose zone; (ii) to develop a complementary set of data analysis tools for discerning the fractal properties of hydraulic and transport parameters of highly heterogeneous vadose zone; (iii) to develop and test the associated computational methods for probabilistic analysis of flow and transport in highly heterogeneous subsurface environments; and (iv) to apply the computational framework to design an “optimal” observation network for monitoring and forecasting the fate and migration of contaminant plumes originating from agricultural activities. During the course of the project, we modified the third objective to include additional computational method, based on the notion that the heterogeneous formation can be considered as a mixture of populations of differing spatial structures. Regarding uncertainly analysis, going beyond approaches based on mean and variance of system states, we succeeded to develop probability density function (PDF) solutions enabling one to evaluate probabilities of rare events, required for probabilistic risk assessment. In addition, we developed reduced complexity models for the probabilistic forecasting of infiltration rates in heterogeneous soils during surface runoff and/or flooding events Regarding flow and transport in variably saturated, spatially heterogeneous formations associated with fine- and coarse-textured embedded soils (FTES- and CTES-formations, respectively).We succeeded to develop first-order and numerical frameworks for flow and transport in three-dimensional (3-D), variably saturated, bimodal, heterogeneous formations, with single and dual porosity, respectively. Regarding the sampling problem defined as, how many sampling points are needed, and where to locate them spatially in the horizontal x₂x₃ plane of the field. Based on our computational framework, we succeeded to develop and demonstrate a methdology that might improve considerably our ability to describe quntitaively the response of complicated 3-D flow systems. The results of the project are of theoretical and practical importance; they provided a rigorous framework to modeling water flow and solute transport in a realistic, highly heterogeneous, composite flow system with uncertain properties under-specified by data. Specifically, they: (i) enhanced fundamental understanding of the basic mechanisms of field-scale flow and transport in near-surface geological formations under realistic flow scenarios, (ii) provided a means to assess the ability of existing flow and transport models to handle realistic flow conditions, and (iii) provided a means to assess quantitatively the threats posed to groundwater by contamination from agricultural sources.
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