Characters of finite groups

著者

• Berkovich, I︠A︡. G.
• Zhmudʹ, E. M.

書誌事項

Characters of finite groups

Ya.G. Berkovich, E.M. Zhmudʹ

（Translations of mathematical monographs, v. 172, 181）

American Mathematical Society, c1998-c1999

• pt. 1
• pt. 2

タイトル別名

Teorii︠a︡ kharakterov

Теория характеров

注記

"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

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA34136200
• ISBN:
  • 082184606X
  • 0821805320
• LCCN: 97039813
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Providence, R.I.
• ページ数/冊数: 2 v.
• 大きさ: 27 cm
• 分類:
  • LCC : QA177
  • NDC8 : 411.63
• 件名:
  • LCSH : Finite groups
  • LCSH : Characters of groups
• 親書誌ID:
  • BA00080309