Representations of Solvable Groups
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
0521397391
ISBN-13
9780521397391
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 16th, 1993
Print length
316 Pages
Weight
460 grams
Dimensions
22.80 x 15.10 x 1.80 cms
Product Classification:
Groups & group theoryGroups and group theory
Ksh 10,600.00
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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 which relates to solvable groups. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
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