Representations of Solvable Groups

Representations of Solvable Groups

by Olaf Manz, Thomas R. Wolf
     
 

ISBN-10: 0521397391

ISBN-13: 9780521397391

Pub. Date: 02/28/2004

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521397391
Publisher:
Cambridge University Press
Publication date:
02/28/2004
Series:
London Mathematical Society Lecture Note Series, #185
Pages:
316
Product dimensions:
5.98(w) x 8.98(h) x 0.71(d)

Table of Contents

Preliminaries; 1. Solvable subgroups of linear groups; 2. Solvable permutation groups; 3. Module actions with large centralizers; 4. Prime power divisors of character degrees; 5. Complexity of character degrees; 6. p-special characters.

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