ENGLISH

Characters of Finite Groups. Part 2

By Ya. G. Berkovich , E. M. Zhmud

Book information

Publisher
American Mathematical Society
Year
1997
ISBN
082184606X, 9780821846063
Language
english
Format
DJVU
Filesize
3 MB (3506286 bytes)
Series
Translations of Mathematical Monographs 172
Volume
2
Pages
382\362
Time added
2016-03-27 17:01:15

Description

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.

Similar books