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  1. Home
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  3. Explicit Brauer Induction
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1994
Online ISBN:
9780511600746
DOI:
https://doi.org/10.1017/CBO9780511600746
Subjects:
Mathematics (general), Mathematics, Geometry and Topology, Algebra
Series:
Cambridge Studies in Advanced Mathematics (40)
Information

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. 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.

Reviews

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 Source: Mathematical Reviews

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