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Books on the topic 'Solvable groups'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 June 2025

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1

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

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2

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

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3

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

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4

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

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5

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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6

Cossey, James, and Yong Yang. Characters and Blocks of Solvable Groups. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-50706-9.

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7

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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8

Korhonen, Mikko. Maximal Solvable Subgroups of Finite Classical Groups. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-62915-0.

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9

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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10

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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11

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

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12

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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13

Pense, Judith. The p-length of a solvable group bounded by conditions on its character degree graph. [s.l.]: [s.n.], 1995.

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14

Characters of Solvable Groups. American Mathematical Society, 2018.

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15

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

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16

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

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17

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

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18

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

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19

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

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20

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

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21

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

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22

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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23

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

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24

Li, Cai-Heng, and Binzhou Xia. Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups. American Mathematical Society, 2022.

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25

Maximal Solvable Subgroups of Finite Classical Groups. Springer, 2024.

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26

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

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27

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

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28

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

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29

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

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30

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

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31

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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32

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

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33

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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34

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

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35

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

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36

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

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37

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

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38

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

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39

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

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40

Characters and Blocks of Solvable Groups: A User's Guide to Large Orbit Theorems. Springer, 2024.

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41

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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42

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

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43

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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44

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

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45

Geometric Group Theory. American Mathematical Society, 2018.

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46

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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47

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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48

Abbes, Ahmed, and Michel Gros. Representations of the fundamental group and the torsor of deformations. An overview. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691170282.003.0001.

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This chapter provides an overview of a new approach to the p-adic Simpson correspondence, focusing on representations of the fundamental group and the torsor of deformations. The discussion covers the notation and conventions, small generalized representations, the torsor of deformations, Faltings ringed topos, and Dolbeault modules. The chapter begins with a short aside on small generalized representations in the affine case, which will be used as intermediary for the study of Dolbeault representations. It then introduces the notion of generalized Dolbeault representation for a small affine scheme and the companion notion of solvable Higgs module, and constructs a natural equivalence between these two categories. It establishes links between these notions and Faltings smallness conditions and relates this to Hyodo's theory. It also describes the Higgs–Tate algebras and concludes with an analysis of the logical links for a Higgs bundle, between smallness and solvability.

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49

Local Operators in Integrable Models. American Mathematical Society, 2021.

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50

Eckle, Hans-Peter. Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.001.0001.

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This book focuses on the theory of quantum matter, strongly interacting systems of quantum many–particle physics, particularly on their study using exactly solvable and quantum integrable models with Bethe ansatz methods. Part 1 explores the fundamental methods of statistical physics and quantum many–particle physics required for an understanding of quantum matter. It also presents a selection of the most important model systems to describe quantum matter ranging from the Hubbard model of condensed matter physics to the Rabi model of quantum optics. The remaining five parts of the book examines appropriate special cases of these models with respect to their exact solutions using Bethe ansatz methods for the ground state, finite–size, and finite temperature properties. They also demonstrate the quantum integrability of an exemplary model, the Heisenberg quantum spin chain, within the framework of the quantum inverse scattering method and through the algebraic Bethe ansatz. Further models, whose Bethe ansatz solutions are derived and examined, include the Bose and Fermi gases in one dimension, the one–dimensional Hubbard model, the Kondo model, and the quantum Tavis–Cummings model, the latter a model descendent from the Rabi model.

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