Last edited by Akinokasa
Sunday, July 19, 2020 | History

7 edition of Characters of finite groups found in the catalog.

# Characters of finite groups

## by Berkovich, IНЎA. G.

Written in English

Subjects:
• Finite groups.,
• Characters of groups.

• Edition Notes

Includes bibliographical references and indexes.

Classifications The Physical Object Statement Ya. G. Berkovich, E.M. Zhmudʹ ; [translated by P. Shumyatsky and V. Zobina from the original Russian manuscript ; translation edited by David Louvish]. Series Translations of mathematical monographs ;, v. 172, 181 Contributions Zhmudʹ, E. M., 1918-, Louvish, David. LC Classifications QA177 .B4713 1998 Pagination 2 v. ; Open Library OL692603M ISBN 10 082184606X, 0821805320 LC Control Number 97039813

This is a clear, accessible and up to date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in :// On characters of finite groups in SearchWorks catalog. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Characters of Abelian Groups - Stanford University. Character theory is a powerful tool for understanding finite ://

Table 2 lists the Schur multipliers of the groups mentioned in the theorem, which can be found in and [25, Table ].For each case, the character table, the defects of p-blocks and the heights of irreducible characters of G are available e that whenever the universal covering group has non-cyclic center, then most of the time all cyclic p-subgroups of the center of a given order Excellent text approaches characters via rings (or algebras). In addition to techniques for applying characters to "pure" group theory, much of the book focuses on properties of the characters themselves and how these properties reflect and are reflected in the structure of the group. "A pleasure to read." — American Mathematical Society. ://

TY - BOOK. T1 - Characters of finite Coxeter groups and Iwahori-Hecke algebras. AU - Geck, Meinolf Josef. AU - Pfeiffer, Goetz. PY - /8/ Y1 - /8/ M3 - Book. SN - SN - T3 - London Math. Soc. Monographs, New Series. BT - Characters of finite Coxeter groups and Iwahori-Hecke algebras. PB - Oxford The Theory of Finite Groups 评论 序号 评论内容 用户名 日期 发表新评论 用户名 @ 温馨提示：本站免费提供疑难偏英文书查找服务 相关英文书 The Theory of Groups

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### Characters of finite groups by Berkovich, IНЎA. G. Download PDF EPUB FB2

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 :// This book explores the classical and beautiful character theory of finite groups.

It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books Characters Of Finite Groups On Characters Of Finite Groups by I_A.

Berkovich, Characters Of Finite Groups Books available in PDF, EPUB, Mobi Format. Download Characters Of Finite Groups books, This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical :// Groups with x-maximal subgroup.

S-characters --Chapter The Schur Index --Chapter On Degrees of Irreducible Components of Induced Characters --Chapter Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees Nilpotent D[subscript 1]-groups Key lemma   These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem.

Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect   Character theory provides a powerful tool for proving theorems about finite groups.

In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how   This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups.

It is subdivided into three parts: $$\pi$$-theory, character correspondences, and :// An illustration of an open book.

Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio An illustration of a " floppy disk. Characters of finite groups. --by Feit, Walter, Publication date Topics Characters of groups, Finite groups, Representations of groups Publisher New York: W   The representation theory of nite groups has a long history, going back to the 19th century and earlier.

A milestone in the subject was the de nition of characters of nite groups by Frobenius in Prior to this there was some use of the ideas which we can now identify as representation theory (characters of cyclic groups as used ~webb/RepBook/ Additional Physical Format: Online version: Feit, Walter, Characters of finite groups.

New York, W.A. Benjamin, (OCoLC) Material Type:   The book is densely written and contains an incredible amount of material. The author provides concise but very readable proofs. Each chapter contains a large number of exercises that help the reader to master the material.

The enormous coverage of material makes this book one of the most useful references on (ordinary) characters of finite  › Books › Science & Math › Mathematics.

ZEROS OF CHARACTERS OF FINITE GROUPS Gunter Malle, Gabriel Navarro and J˝rn B. Olsson Universit at Kassel, Universitat de Val encia, University of Copenhagen 1. Introduction Let G be a nite group and let ˜ 2Irr(G) be an irreducible complex character of G.

Burnside proved that if ˜is nonlinear, then there exists g2Gsuch that ˜(g) = 0 ~olsson/manus/   Second, we investigate the characters of finite cyclic groups. Throughout the rest of the book, we use the symbol C * to denote the multiplicative group of nonzero complex numbers.

This is a preview of subscription content, log in to check ://   The reviewer regards the book as a “must”, certainly due to the techniques and results offered, it is up to date, and it is a very welcome and illuminating contribution in presenting to the mathematical community the beauty of the theory of characters of finite =MMONO Characters of Finite Groups,Buch, 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   "The monumental classification of finite simple groups, which occupies s pages spread over journal articles, is now complete, and the complete list of the finite simple groups has attracted wide Atlas brings together detailed information about these groups--their construction, character tables, maximal subgroups, and prefatory material is as clear and  › Books › Science & Math › Mathematics.

The aim of this book is to develop the theory of conjugacy classes and irreducible characters, both for finite Coxeter groups and the associated Iwahori-Hecke algebras.

The topics range from classical results to more recent developments and are treated in a coherent and self-contained :// FindBook 找書網:On Characters of Finite Groups, 書名:On Characters of Finite Groups,作者:Michel Broué,出版社:Springer Singapore,出版日期,圖書選購價格列表,全台圖書館館藏快速查詢、借閱,This book explores the classical and beautiful character Characters of Finite Groups.

CHARACTERS AND COHOMOLOGY OF FINITE GROUPS By M. ATIYAH A N. Bourbaki pour son n o anniversaire. INTRODUCTION For any finite group G one can consider the integral cohomology ring H*(G, Z) and the ring R(G) of unitary characters (cf.

w 6). For i-dimensional characters there is a well-known isomorphism~v1ranick/papers/. Representations and Characters of Finite Groups 点击放大图片 出版社: Cambridge University Press 作者: Collins, M. J self-contained account providing an introduction to the application of character theory to the classification of simple groups.

The book the Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems.

The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite ://Character Theory of Finite Groups It is needless to mention that this book once more proves the unequaled care and accuracy of its author." Mathematical Reviews "[ ] the reviewer found this "big blue" Huppert book a welcome enrichment of earlier books on character theory of finite groups." § 26 Characters of p-groups § 27 Groups ?language=en.