Academic literature on the topic 'Locally nilpotent'
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Journal articles on the topic "Locally nilpotent"
HAVAS, GEORGE, and M. R. VAUGHAN-LEE. "4-ENGEL GROUPS ARE LOCALLY NILPOTENT." International Journal of Algebra and Computation 15, no. 04 (August 2005): 649–82. http://dx.doi.org/10.1142/s0218196705002475.
Full textBurns, R. G., and Yuri Medvedev. "Group Laws Implying Virtual Nilpotence." Journal of the Australian Mathematical Society 74, no. 3 (June 2003): 295–312. http://dx.doi.org/10.1017/s1446788700003335.
Full textWehrfritz, B. A. F. "Some nilpotent and locally nilpotent matrix groups." Journal of Pure and Applied Algebra 60, no. 3 (October 1989): 289–312. http://dx.doi.org/10.1016/0022-4049(89)90089-3.
Full textTRAUSTASON, GUNNAR. "A NOTE ON THE LOCAL NILPOTENCE OF 4-ENGEL GROUPS." International Journal of Algebra and Computation 15, no. 04 (August 2005): 757–64. http://dx.doi.org/10.1142/s021819670500244x.
Full textLiao, Jun, and Yanjun Liu. "Minimal Non-nilpotent and Locally Nilpotent Fusion Systems." Algebra Colloquium 23, no. 03 (June 20, 2016): 455–62. http://dx.doi.org/10.1142/s1005386716000432.
Full textDetinko, A. S., and D. L. Flannery. "Locally Nilpotent Linear Groups." Irish Mathematical Society Bulletin 0056 (2005): 37–51. http://dx.doi.org/10.33232/bims.0056.37.51.
Full textKaraś, Marek. "Locally Nilpotent Monomial Derivations." Bulletin of the Polish Academy of Sciences Mathematics 52, no. 2 (2004): 119–21. http://dx.doi.org/10.4064/ba52-2-2.
Full textSHUMYATSKY, PAVEL. "A (locally nilpotent)-by-nilpotent variety of groups." Mathematical Proceedings of the Cambridge Philosophical Society 132, no. 2 (March 2002): 193–96. http://dx.doi.org/10.1017/s0305004102005571.
Full textLongobardi, Patrizia, Mercede Maj, Howard Smith, and James Wiegold. "Torsion-free groups isomorphic to all of their non-nilpotent subgroups." Journal of the Australian Mathematical Society 71, no. 3 (December 2001): 339–48. http://dx.doi.org/10.1017/s1446788700002974.
Full textTRAUSTASON, GUNNAR. "TWO GENERATOR 4-ENGEL GROUPS." International Journal of Algebra and Computation 15, no. 02 (April 2005): 309–16. http://dx.doi.org/10.1142/s0218196705002189.
Full textDissertations / Theses on the topic "Locally nilpotent"
Wang, Zhiqing. "Locally nilpotent derivations of polynomial rings." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0018/NQ48119.pdf.
Full textMilian, Dagmara. "Locally nilpotent 5-Engel p-groups." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.561122.
Full textChitayat, Michael. "Locally Nilpotent Derivations and Their Quasi-Extensions." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35072.
Full textKhoury, Joseph. "Locally nilpotent derivations and their rings of constants." Thesis, University of Ottawa (Canada), 2001. http://hdl.handle.net/10393/9028.
Full textEL, Houari Hassan. "Algorithms for locally nilpotent derivations in dimension two and three." Limoges, 2007. https://aurore.unilim.fr/theses/nxfile/default/7d0e7c9d-8bec-4ccf-af81-92abce4349cb/blobholder:0/2007LIMO4049.pdf.
Full textDerivations, especially locally nilpotent ones, over polynomial rings are objects of great importance in many fields of pure and applied mathematics. Nowadays, locally nilpotent derivations have made remarkable progress and became an important topic in understanding affine algebraic geometry and commutative algebra. This is due to the fact that some classic problems in these areas, such as the Jacobian conjecture, the Linearization problem and the Cancellation problem, can be reformulated in terms of locally nilpotent derivations. This thesis is about the algorithmic study of problems linked to locally nilpotent derivations and their applications to the study of polynomial automorphisms of the affine space. Its aim is to present, on one hand, some problems in which locally nilpotent derivations play a crucial role, namely, the coordinate problem and the parametrization problem. On the other hand, give some algorithms concerning locally nilpotent derivations, which may contribute in understanding locally nilpotent derivations in three dimensional case, namely, rang and triangulability algorithms of locally nilpotent derivations
Nur, Alexandra. "Locally Nilpotent Derivations and the Cancellation Problem in Affine Algebraic Geometry." Thesis, University of Ottawa (Canada), 2011. http://hdl.handle.net/10393/28926.
Full textNyobe, Likeng Samuel Aristide. "Locally Nilpotent Derivations on Polynomial Rings in Two Variables over a Field of Characteristic Zero." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/35906.
Full textMerighe, Liliam Carsava. "Uma introdução às derivações localmente nilpotentes com uma aplicação ao 14º problema de Hilbert." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-05082015-102547/.
Full textThe main objective of this thesis is to study a counterexample to the Hilberts Fourteenth Problem in dimension n = 5, which was presented by Arno van den Essen ([6]) in 2006 and that is based on a counterexample of D. Daigle and G. Freudenburg ([4]). For these purpose, we study the fundamental concepts of the theory of derivations and the basic principles of locally nilpotent derivations and their corollaries. Among these principles, Principle 13 ensures that if B is a k-algebra polynomial, say B = k[x1; ..., xn], (where k is a field of characteristic zero) and D is a locally nilpotent derivation on B, then its kernel A = ker D satisfies A = B ∩ Frac(A). Once we have proved that A is not finitely generated over k, we find the expected counterexample. In addition, in the appendix of this work is given a proof for the Hilberts Fourteenth Problemin dimension n = 1.
Abreu, Kelyane Barboza de. "Derivações localmente nilpotentes e os teoremas de Rentschler e Jung." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7438.
Full textCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
The main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central application of this result, we prove Jung s Theorem, concerning the generators of the group of automorphisms in two variables. Finally, some examples are discussed, illustrating connections to other important topics.
O principal objetivo deste trabalho é fornecer uma demonstração do bem-conhecido Teorema de Rentschler, que descreve a estrutura das derivações localmente nilpotentes sobre o anel de polinômios em duas variáveis (sobre um corpo de característica zero), a menos de conjugação por automorfismos tame . Como aplicação central deste resultado, provamos o Teorema de Jung, sobre os geradores do grupo de automorfismos em duas variáveis. Finalmente, alguns exemplos são discutidos, ilustrando conexões com outros tópicos importantes.
丸橋, 広和. "単連結べき零Lie群のパラメータ剛性をもつ作用." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188455.
Full textBooks on the topic "Locally nilpotent"
Freudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3.
Full textFreudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Springer London, Limited, 2006.
Find full textAlgebraic Theory of Locally Nilpotent Derivations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-29523-5.
Full textFreudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Springer, 2018.
Find full textFreudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Springer, 2017.
Find full textFreudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Springer, 2010.
Find full textAlgebraic Theory of Locally Nilpotent Derivations (Encyclopaedia of Mathematical Sciences). Springer, 2006.
Find full textBook chapters on the topic "Locally nilpotent"
Daigle, Daniel. "Locally Nilpotent Sets of Derivations." In Polynomial Rings and Affine Algebraic Geometry, 41–71. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42136-6_2.
Full textMakar-Limanov, L. "Locally nilpotent derivations of affine domains." In CRM Proceedings and Lecture Notes, 221–29. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/crmp/054/12.
Full textFreudenburg, Gene. "First Principles." In Algebraic Theory of Locally Nilpotent Derivations, 1–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_1.
Full textFreudenburg, Gene. "Slices, Embeddings and Cancellation." In Algebraic Theory of Locally Nilpotent Derivations, 265–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_10.
Full textFreudenburg, Gene. "Epilogue." In Algebraic Theory of Locally Nilpotent Derivations, 287–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_11.
Full textFreudenburg, Gene. "Further Properties of LNDs." In Algebraic Theory of Locally Nilpotent Derivations, 41–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_2.
Full textFreudenburg, Gene. "Polynomial Rings." In Algebraic Theory of Locally Nilpotent Derivations, 73–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_3.
Full textFreudenburg, Gene. "Dimension Two." In Algebraic Theory of Locally Nilpotent Derivations, 113–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_4.
Full textFreudenburg, Gene. "Dimension Three." In Algebraic Theory of Locally Nilpotent Derivations, 137–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_5.
Full textFreudenburg, Gene. "Linear Actions of Unipotent Groups." In Algebraic Theory of Locally Nilpotent Derivations, 167–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_6.
Full textConference papers on the topic "Locally nilpotent"
CLARK, JOHN. "LOCALLY SEMI-T-NILPOTENT FAMILIES OF MODULES." In Proceedings of the 4th China-Japan-Korea International Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701671_0005.
Full textTRABELSI, NADIR. "LOCALLY GRADED GROUPS WITH FEW NON-(TORSION-BY-NILPOTENT) SUBGROUPS." In Proceedings of a Conference in Honor of Akbar Rhemtulla. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708670_0022.
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