Written by one of the world's leading algebraic topologists, this book introduces new techniques from topology into algebra, addressing several topics in algebra which are unified by their connection with the representation theory of Galois groups. The treatment is self-contained, addressing bilinear forms and local root numbers using techniques from cohomology theory, homotopy, and stable homotopy theory. Snaith's innovative approach is likely to inspire many similar applications of the explicit Brauer induction theory. The book contains much original research of interest to algebraic topologists, number theorists, and group theorists. The text will be of benefit to mathematicians, algebraists, algebraic topologists, number theorists and analysts.
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ISBN-13
978-0-471-61752-5 (9780471617525)
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Schweitzer Klassifikation
Abelian cohomology of groups; nonabelian cohomology of groups; characteristic classes of forms and algebras; higher-dimensional characteristic classes of Bilinear forms and Galois representations; stable homotopy and induced representations; explicit Brauer induction theory; applications of explicit Brauer induction to Artin root numbers and local root numbers.
