Characters of finite groups
Author(s)
Bibliographic Information
Characters of finite groups
（Translations of mathematical monographs, v. 172,
American Mathematical Society, c1998-c1999
- pt. 1
- pt. 2
- Other Title
-
Teorii︠a︡ kharakterov
Теория характеров
Available at 59 libraries
-
pt. 1410.8//TR1//523115100116647,15100116654,15100118460,15100129913,
pt. 2410.8//TR1//884815100140795,15100141611,15100146651,15100188489 -
Library & Science Information Center, Osaka Prefecture University
pt. 13000063022,
pt. 23000063023
Note
"Translated by P. Shumyatsky and V. Zobina from the original Russian manuscript ; translation edited by David Louvish" -- T.p. verso
Includes bibliographical references and indexes
Description and Table of Contents
Description
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.
Table of Contents
Degrees and kernels of irreducible characters Involutions Connectedness and Zassenhaus groups The Nagao theorem Linear groups Permutation characters Characters of SL$(2,p^n)$ Zeros of characters The Schur index On degrees of irreducible components of induced characters Groups in which only two nonlinear irreducible characters have equal degrees Groups with small sums of degrees of some characters On sums of degrees of irreducible characters Groups whose nonlinear irreducible characters take three distinct values Nonsolvable groups with many involutions On kernels of nonlinear irreducible characters On monolithic characters The class number Problems Notes on the bibliography Bibliography Author index Subject index List of corrections to part 1.
by "Nielsen BookData"