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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40) - Softcover
Synopsis
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.
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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.
Review
"...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
"...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
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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40)
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Cambridge University Press, 2011
ISBN 10: 052117273X
ISBN 13: 9780521172738
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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics)
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ISBN 13: 9780521172738
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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Paperback)
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ISBN 10: 052117273X
ISBN 13: 9780521172738
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Paperback. Condition: new. Paperback. 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. This 1994 book gave, for the first time, an entirely algebraic treatment of the technique of Explicit Brauer Induction. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521172738
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Explicit Brauer Induction
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ISBN 10: 052117273X
ISBN 13: 9780521172738
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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 40)
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ISBN 10: 052117273X
ISBN 13: 9780521172738
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Explicit Brauer Induction: With Applications to Algebra and Number Theory
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Explicit Brauer Induction
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Explicit Brauer Induction
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Explicit Brauer Induction: With Applications to Algebra and Number Theory
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Explicit Brauer Induction: With Applications to Algebra and Number Theory (Paperback)
Published by
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ISBN 10: 052117273X
ISBN 13: 9780521172738
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Paperback. Condition: new. Paperback. 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. This 1994 book gave, for the first time, an entirely algebraic treatment of the technique of Explicit Brauer Induction. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521172738
Quantity: 1 available