Explicit Brauer Induction
With Applications to Algebra and Number Theory
$59.99 (C)
Part of Cambridge Studies in Advanced Mathematics
- Author: Victor P. Snaith, McMaster University, Ontario
- Date Published: February 2011
- availability: Available
- format: Paperback
- isbn: 9780521172738
$
59.99
(C)
Paperback
Other available formats:
Hardback, eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
-
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.
Read more- Algebraic treatment of Explicit Brauer Induction
- Five chapters of applications in many areas
- Many exercises and research problems
Reviews & endorsements
"...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
See more 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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: February 2011
- format: Paperback
- isbn: 9780521172738
- length: 422 pages
- dimensions: 229 x 152 x 24 mm
- weight: 0.62kg
- availability: Available
Table of Contents
Preface
1. Representations
2. Induction theorems
3. GL2Fq
4. The class-group of a group-ring
5. A class-group miscellany
6. Complete discrete valuation fields
7. Galois module structure.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×