Get Cohomology of Finite Groups (Grundlehren der mathematischen PDF

By Alejandro Adem,R. James Milgram

a few ancient heritage This ebook offers with the cohomology of teams, rather finite ones. traditionally, the topic has been one in all major interplay among algebra and topology and has without delay ended in the construction of such very important parts of arithmetic as homo­ logical algebra and algebraic K-theory. It arose essentially within the 1920's and 1930's independently in quantity conception and topology. In topology the main target was once at the paintings ofH. Hopf, yet B. Eckmann, S. Eilenberg, and S. MacLane (among others) made major contributions. the most thrust of the early paintings the following was once to attempt to appreciate the meanings of the low dimensional homology teams of an area X. for instance, if the common conceal of X used to be 3 attached, it was once recognized that H2(X; A. ) relies in simple terms at the basic staff of X. team cohomology in the beginning looked as if it would clarify this dependence. In quantity thought, crew cohomology arose as a ordinary gadget for describing the most theorems of sophistication box conception and, particularly, for describing and reading the Brauer staff of a box. It additionally arose certainly within the learn of workforce extensions, N

Show description

Read or Download Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) PDF

Similar group theory books

Download e-book for kindle: Rational Points on Curves over Finite Fields: Theory and by Harald Niederreiter,Chaoping Xing

Ever because the seminal paintings of Goppa on algebraic-geometry codes, rational issues on algebraic curves over finite fields were an incredible examine subject for algebraic geometers and coding theorists. the point of interest during this software of algebraic geometry to coding idea is on algebraic curves over finite fields with many rational issues (relative to the genus).

Vladimir Dobrev's Lie Theory and Its Applications in Physics: IX International PDF

Typically, Lie conception is a device to construct mathematical versions for actual structures. lately, the fashion is in the direction of geometrisation of the mathematical description of actual platforms and gadgets. a geometrical method of a method yields commonly a few inspiration of symmetry that is very important in knowing its constitution.

Representations of Finite Groups: Local Cohomology and by David J. Benson,Srikanth Iyengar,Henning Krause PDF

The seminar specializes in a contemporary answer, via the authors, of an extended status challenge about the solid module type (of now not inevitably finite dimensional representations) of a finite staff. The evidence attracts on principles from commutative algebra, cohomology of teams, and reliable homotopy thought. The unifying topic is a thought of aid which supplies a geometrical technique for learning quite a few algebraic constructions.

Juan Carlos Ferrando,Manuel Lopez-Pellicer's Descriptive Topology and Functional Analysis: In Honour of PDF

Descriptive topology and practical research, with broad fabric demonstrating new connections among them, are the topic of the 1st part of this paintings. functions to areas of constant services, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are incorporated and are offered as open difficulties.

Extra info for Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften)

Sample text

Download PDF sample

Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) by Alejandro Adem,R. James Milgram

by Jason

Rated 4.58 of 5 – based on 13 votes