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1

Manz, Olaf. Representations of solvable groups. Cambridge: Cambridge University Press, 1993.

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2

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

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3

Shunkov, V. P. O vlozhenii primarnykh ėlementov v gruppe. Novosibirsk: VO Nauka, 1992.

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4

Shunkov, V. P. Mp̳-gruppy. Moskva: "Nauka", 1990.

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5

The primitive soluble permutation groups of degree less than 256. Berlin: Springer-Verlag, 1992.

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6

Finite presentability of S-arithmetic groups: Compact presentability of solvable groups. Berlin: Springer-Verlag, 1987.

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7

Words: Notes on verbal width in groups. Cambridge: Cambridge University Press, 2009.

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8

Bencsath, Katalin A. Lectures on Finitely Generated Solvable Groups. New York, NY: Springer New York, 2013.

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9

Bencsath, Katalin A., Marianna C. Bonanome, Margaret H. Dean, and Marcos Zyman. Lectures on Finitely Generated Solvable Groups. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-5450-2.

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10

Fujiwara, Hidenori, and Jean Ludwig. Harmonic Analysis on Exponential Solvable Lie Groups. Tokyo: Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-55288-8.

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11

Abels, Herbert. Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0079708.

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12

Group and ring theoretic properties of polycyclic groups. London: Springer, 2009.

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13

Baklouti, Ali, Hidenori Fujiwara, and Jean Ludwig. Representation Theory of Solvable Lie Groups and Related Topics. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82044-2.

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14

Isolated involutions in finite groups. Providence, Rhode Island: American Mathematical Society, 2013.

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15

The C*-algebras of a class of solvable Lie groups. Harlow, Essex, England: Longman Scientific & Technical, 1989.

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16

1941-, Glauberman G., and Carlip Walter 1956-, eds. Local analysis for the odd order theorem. Cambridge [England]: Cambridge University Press, 1994.

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17

Wang, Xiaolu. The C [asterisk] -algebras of a class of solvable Lie groups. Harlow: Longman Scientific & Technical, 1989.

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18

Analytic pseudodifferential operators for the Heisenberg group and local solvability. Princeton, N.J: Princeton University Press, 1990.

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19

New developments in Lie theory and its applications: Seventh workshop in Lie theory and its applications, November 26-December 1, 2000, Cordoba, Argentina. Providence, R.I: American Mathematical Society, 2011.

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20

L, Shader Bryan, ed. Matrices of sign-solvable linear systems. Cambridge: Cambridge University Press, 1995.

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21

1932-, Bass Hyman, and Lam, T. Y. (Tsit-Yuen), 1942-, eds. Algebra. Providence, R.I: American Mathematical Society, 2010.

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22

Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. Providence, Rhode Island: American Mathematical Society, 2015.

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23

author, Winternitz Pavel, ed. Classification and identification of Lie algebras. Providence, Rhode Island: American Mathematical Society, 2014.

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24

Characters of Solvable Groups. American Mathematical Society, 2018.

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25

Wolf, Thomas R., and Olaf Manz. Representations of Solvable Groups. Cambridge University Press, 2009.

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26

Wolf, Thomas R., and Olaf Manz. Representations of Solvable Groups. Cambridge University Press, 2011.

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27

Robinson, Derek J. S. Finiteness Conditions and Generalized Soluble Groups: Part 1. Springer, 2010.

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28

Robinson, Derek J. S. Finiteness Conditions and Generalized Soluble Groups: Part 2. Springer London, Limited, 2013.

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29

Robinson, Derek J. S. Finiteness Conditions and Generalized Soluble Groups: Part 1. Springer London, Limited, 2013.

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30

Robinson, Derek J. S. Finiteness Conditions and Generalized Soluble Groups: Part 2. Springer, 2010.

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31

Semeniuk, Christine. Groups with Solvable Word Problems. Creative Media Partners, LLC, 2018.

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32

Bencsath, Katalin A., Marianna C. Bonanome, and Margaret H. Dean. Lectures on Finitely Generated Solvable Groups. Springer, 2012.

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33

Zyman, Marcos, Katalin A. A. Bencsath, Marianna C. Bonanome, and Margaret H. Dean. Lectures on Finitely Generated Solvable Groups. Springer, 2012.

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34

Fujiwara, Hidenori, and Jean Ludwig. Harmonic Analysis on Exponential Solvable Lie Groups. Springer Japan, 2016.

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35

Fujiwara, Hidenori, and Jean Ludwig. Harmonic Analysis on Exponential Solvable Lie Groups. Springer, 2014.

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36

Fujiwara, Hidenori, and Jean Ludwig. Harmonic Analysis on Exponential Solvable Lie Groups. Springer Japan, 2014.

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37

Abels, Herbert. Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups. Springer London, Limited, 2006.

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38

Arnal, Didier, and Bradley Currey III. Representations of Solvable Lie Groups: Basic Theory and Examples. University of Cambridge ESOL Examinations, 2020.

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39

Baklouti, Ali, Hidenori Fujiwara, and Jean Ludwig. Representation Theory of Solvable Lie Groups and Related Topics. Springer International Publishing AG, 2022.

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40

Arnal, Didier, and Bradley Currey. Representations of Solvable Lie Groups: Basic Theory and Examples. Cambridge University Press, 2020.

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41

Representation Theory of Solvable Lie Groups and Related Topics. Springer International Publishing AG, 2021.

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42

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2016.

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43

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2015.

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44

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2015.

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45

Premios de investicación [i.e. investigación] concedidos por la Academia en las secciones de exactas y físicas durante el periodo (1999-2000). [Zaragoza, Spain: Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza], 2000.

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46

The C*- Algebras of a Class of Solvable Lie Groups (Pitman Research Notes in Mathematics 199). Livingstone, Churchill, 1989.

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47

Li, Huishi. Noncommutative Polynomial Algebras of Solvable Type and Their Modules: Basic Constructive-Computational Theory and Methods. Taylor & Francis Group, 2021.

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48

Noncommutative Polynomial Algebras of Solvable Type and Their Modules: Basic Constructive-Computational Theory and Methods. Taylor & Francis Group, 2021.

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49

Geometric Group Theory. American Mathematical Society, 2018.

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50

Abbes, Ahmed, and Michel Gros. Representations of the fundamental group and the torsor of deformations. Local study. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691170282.003.0002.

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This chapter focuses on representations of the fundamental group and the torsor of deformations. It considers the case of an affine scheme of a particular type, qualified also as small by Faltings. It introduces the notion of Dolbeault generalized representation and the companion notion of solvable Higgs module, and then constructs a natural equivalence between these two categories. It proves that this approach generalizes simultaneously Faltings' construction for small generalized representations and Hyodo's theory of p-adic variations of Hodge–Tate structures. The discussion covers the relevant notation and conventions, results on continuous cohomology of profinite groups, objects with group actions, logarithmic geometry lexicon, Faltings' almost purity theorem, Faltings extension, Galois cohomology, Fontaine p-adic infinitesimal thickenings, Higgs–Tate torsors and algebras, Dolbeault representations, and small representations. The chapter also describes the descent of small representations and applications and concludes with an analysis of Hodge–Tate representations.
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