Explicit Brauer Induction: With Applications to Algebra and Number Theory - Couverture souple

Snaith, Victor P.

 
9780521172738: Explicit Brauer Induction: With Applications to Algebra and Number Theory

Synopsis

This 1994 book gave, for the first time, an entirely algebraic treatment of the technique of Explicit Brauer Induction.

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Présentation de l'éditeur

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.

Revue de presse

Review of the hardback: '... 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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521460156: Explicit Brauer Induction: With Applications to Algebra and Number Theory

Edition présentée

ISBN 10 :  0521460158 ISBN 13 :  9780521460156
Editeur : Cambridge University Press, 1994
Couverture rigide