Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40) - Softcover

Snaith, Victor P.

 
9780521172738: Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40)
Softcover
ISBN 10: 052117273X ISBN 13: 9780521172738
Publisher: Cambridge University Press, 2011

Synopsis

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 reprove 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.

"synopsis" may belong to another edition of this title.

Book Description

Explicit Brauer Induction is an 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 1994 book it is derived algebraically, following a method of R. Boltje - thereby making the technique, previously topological, accessible to algebraists.

Review

"...pleasant to read...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." M.E. Keating, Mathematical Reviews

"...provides numerous detailed illustrations of its utility and applications in areas as far afield as square matrices with entries from a finite field, class group theory, discrete valuation fields, and Galois modules." F.E.J. Linton, Choice

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2011
Language
English
ISBN 10 
052117273X
ISBN 13 
9780521172738
Binding
Paperback
Number of pages
422

Other Popular Editions of the Same Title

9780521460156: Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40)

Featured Edition

ISBN 10:  0521460158 ISBN 13:  9780521460156
Publisher: Cambridge University Press, 1995
Hardcover