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Explicit Brauer Induction : With Applications to Algebra and Number Theory - Victor P. Snaith

Explicit Brauer Induction

With Applications to Algebra and Number Theory

Hardcover

Published: 27th January 1995
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Explicit Brauer Induction is a new and important technique in algebra, discovered by the author in 1986. It solves an old problem, giving a canonical formula for Brauer's induction theorem. In this book it is derived algebraically, following a method of R. Boltje - thereby making the technique, previously topological, accessible to algebraists. Once developed, the technique is used, by way of illustration, to re-prove some important known results in new ways and to settle some outstanding problems. As with Brauer's original result, the canonical formula can be expected to have numerous applications and this book is designed to introduce research algebraists to its possibilities. For example, the technique gives an improved construction of the Oliver-Taylor group-ring logarithm, which enables the author to study more effectively algebraic and number-theoretic questions connected with class-groups of rings.

'... a good introduction to explicit Brauer induction and its arithmetic applications ... it will be a valuable addition to the library of anyone working on these topics.' Zentralblatt MATH

Preface
Representations
Induction theorems
GL2Fq
The class-group of a group-ring
A class-group miscellany
Complete discrete valuation fields
Galois module structure
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521460156
ISBN-10: 0521460158
Series: Cambridge Studies in Advanced Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 424
Published: 27th January 1995
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.7
Weight (kg): 0.79