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| Author | : Suzanne Dorée |
| Publisher | : |
| Total Pages | : 244 |
| Release | : 1996 |
| Genre | : |
| ISBN | : |
| Author | : IA. G. Berkovich E. M. Zhmud' |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 414 |
| Release | : 1997-12-02 |
| Genre | : |
| ISBN | : 9780821897829 |
This book discusses character theory and its applications to finite groups. The work places the subject within the reach of people with a relatively modest mathematical background. The necessary background exceeds the standard algebra course with respect only to finite groups. Starting with basic notions and theorems in character theory, the authors present a variety of results on the properties of complex-valued characters and applications to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations and applications of monomial groups. The presentation is detailed, and many proofs of known results are new. Most of the results in the book are presented in monograph form for the first time. Numerous exercises offer additional information on the topics and help readers to understand the main concepts and results.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 669 |
| Release | : 1992-07-09 |
| Genre | : Mathematics |
| ISBN | : 0080872867 |
Group Representations Volume 1 Part B
| Author | : Paul Fong |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 562 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : 0821814788 |
The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.
| Author | : I_A. G. Berkovich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 364 |
| Release | : 1998-09-29 |
| Genre | : Mathematics |
| ISBN | : 9780821897881 |
This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations of monomial groups. The presentation is detailed, and many proofs of known results are new.
| Author | : Yakov G. Berkovich |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 1515 |
| Release | : 2018-12-17 |
| Genre | : Mathematics |
| ISBN | : 3110384809 |
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Aix-Marseille Université, France Katrin Wendland, Trinity College Dublin, Dublin, Ireland Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
| Author | : |
| Publisher | : |
| Total Pages | : 796 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 576 |
| Release | : 2000 |
| Genre | : Algebra |
| ISBN | : |
| Author | : Yakov G. Berkovich |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 624 |
| Release | : 2017-12-18 |
| Genre | : Mathematics |
| ISBN | : 3110224070 |
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
| Author | : Semra Öztürk |
| Publisher | : |
| Total Pages | : 286 |
| Release | : 1995 |
| Genre | : |
| ISBN | : |
