Cohomology of Groups
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Description
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics. Front Matter....Pages i-x Introduction....Pages 1-3 Some Homological Algebra....Pages 4-32 The Homology of a Group....Pages 33-54 Homology and Cohomology with Coefficients....Pages 55-85 Low-Dimensional Cohomology and Group Extensions....Pages 86-106 Products....Pages 107-127 Cohomology Theory of Finite Groups....Pages 128-160 Equivariant Homology and Spectral Sequences....Pages 161-182 Finiteness Conditions....Pages 183-229 Euler Characteristics....Pages 230-272 Farrell Cohomology Theory....Pages 273-294 Back Matter....Pages 295-309
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