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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Num,New
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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. Boltjethereby 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 OliverTaylor groupring logarithm, which enables the author to study more effectively algebraic and numbertheoretic questions connected with classgroups of rings.
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- Q: What is the main focus of 'Explicit Brauer Induction'? A: The main focus of 'Explicit Brauer Induction' is to introduce a new technique in algebra that provides a canonical formula for Brauer's induction theorem, derived algebraically for accessibility to algebraists.
- Q: Who is the author of this book? A: The author of 'Explicit Brauer Induction' is Victor P. Snaith.
- Q: When was 'Explicit Brauer Induction' published? A: 'Explicit Brauer Induction' was published on January 27, 1995.
- Q: What is the binding type of this book? A: 'Explicit Brauer Induction' is available in hardcover binding.
- Q: How many pages does 'Explicit Brauer Induction' contain? A: 'Explicit Brauer Induction' contains 424 pages.
- Q: What subjects does this book cover? A: This book covers subjects in algebra and number theory, focusing on the applications of Brauer induction.
- Q: Is 'Explicit Brauer Induction' suitable for beginners? A: 'Explicit Brauer Induction' is designed for research algebraists and may not be suitable for beginners due to its advanced content.
- Q: What are some applications of the technique discussed in the book? A: The technique discussed in the book has applications in re-proving important results in algebra and number theory, including an improved construction of the Oliver-Taylor group-ring logarithm.
- Q: What edition of the book is available? A: 'Explicit Brauer Induction' is available in its first edition.
- Q: What condition is the book in? A: 'Explicit Brauer Induction' is in new condition.