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Representations of Solvable Groups : Cambridge Studies in Medieval Life and Thought - Olaf Manz

Representations of Solvable Groups

Cambridge Studies in Medieval Life and Thought

Paperback Published: 15th November 1993
ISBN: 9780521397391
Number Of Pages: 316

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The role of representation theory in algebra is an important one and in this book Manz and Wolf concentrate on that part of the theory that relates to solvable groups. In particular, modules over finite fields are studied, but also some applications to ordinary and Brauer characters of solvable groups are given. The authors include a proof of Brauer's height-zero conjecture and a new proof of Huppert's classification of 2-transitive solvable permutation groups.

Industry Reviews

"This is a very readable and coherent expository monograph, aimed at mathematicians and advanced students who desire a thorough knowledge of some of the main topics in the representation theory of finite solvable groups. The book features complete proofs and extensive background material." David Gluck, Mathematical Reviews

Preliminaries
Solvable subgroups of linear groups
Solvable permutation groups
Module actions with large centralizers
Prime power divisors of character degrees
Complexity of character degrees
p-special characters
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521397391
ISBN-10: 0521397391
Series: Cambridge Studies in Medieval Life and Thought
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 316
Published: 15th November 1993
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.8
Weight (kg): 0.46

Earn 172 Qantas Points
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