Cohomology of Finite Groups (Hardcover, 2nd ed. 2004)

Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups of a space X. For example, if the universal cover of X was three connected, it was known that H2(X; A. ) depends only on the fundamental group of X. Group cohomology initially appeared to explain this dependence. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field. It also arose naturally in the study of group extensions, N"

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Grundlehren der mathematischen Wissenschaften, 309
Release date:	December 2003
First published:	2004
Authors:	Alejandro Adem • R.James Milgram
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	324
Edition:	2nd ed. 2004
ISBN-13:	978-3-540-20283-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-540-20283-8
Barcode:	9783540202837

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