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Explicit Brauer induction = with app...

Snaith, Victor P. (1944-)

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Explicit Brauer induction = with applications to algebra and number theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Explicit Brauer induction/ Victor P. Snaith.
Reminder of title:	with applications to algebra and number theory /
Author:	Snaith, Victor P.
Published:	Cambridge :Cambridge University Press, : 1994.,
Description:	xii, 409 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Brauer groups. -
Online resource:	https://doi.org/10.1017/CBO9780511600746
ISBN:	9780511600746

Explicit Brauer induction = with applications to algebra and number theory /
Snaith, Victor P.1944-

Explicit Brauer inductionwith applications to algebra and number theory /[electronic resource] :Victor P. Snaith. - Cambridge :Cambridge University Press,1994. - xii, 409 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;40. - Cambridge studies in advanced mathematics ;40..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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. 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.

ISBN: 9780511600746Subjects--Topical Terms:

888685
Brauer groups.

LC Class. No.: QA251.3 / .S64 1994

Dewey Class. No.: 512.2

Explicit Brauer induction = with applications to algebra and number theory /
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100 1 $a Snaith, Victor P. $q (Victor Percy), $d 1944- $3 3470422
245 1 0 $a Explicit Brauer induction $h [electronic resource] : $b with applications to algebra and number theory / $c Victor P. Snaith.
260 $a Cambridge : $b Cambridge University Press, $c 1994.
300 $a xii, 409 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 40
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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. 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.
650 0 $a Brauer groups. $3 888685
650 0 $a Representations of groups. $3 519598
830 0 $a Cambridge studies in advanced mathematics ; $v 40. $3 3470423
856 4 0 $u https://doi.org/10.1017/CBO9780511600746