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Cohomology of Groups

  • Textbook
  • © 1982

Overview

Authors:
  1. Kenneth S. Brown

    1. Department of Mathematics, Cornell University, Ithaca, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 87)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Kenneth S. Brown
    Pages 1-3

  3. Some Homological Algebra

    • Kenneth S. Brown
    Pages 4-32

  4. The Homology of a Group

    • Kenneth S. Brown
    Pages 33-54

  5. Homology and Cohomology with Coefficients

    • Kenneth S. Brown
    Pages 55-85

  6. Low-Dimensional Cohomology and Group Extensions

    • Kenneth S. Brown
    Pages 86-106

  7. Products

    • Kenneth S. Brown
    Pages 107-127

  8. Cohomology Theory of Finite Groups

    • Kenneth S. Brown
    Pages 128-160

  9. Equivariant Homology and Spectral Sequences

    • Kenneth S. Brown
    Pages 161-182

  10. Finiteness Conditions

    • Kenneth S. Brown
    Pages 183-229

  11. Euler Characteristics

    • Kenneth S. Brown
    Pages 230-272

  12. Farrell Cohomology Theory

    • Kenneth S. Brown
    Pages 273-294

  13. Back Matter

    Pages 295-309
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Cornell University, Ithaca, USA

    Kenneth S. Brown

Bibliographic Information

  • Book Title: Cohomology of Groups

  • Authors: Kenneth S. Brown

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-9327-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1982

  • Hardcover ISBN: 978-0-387-90688-1Published: 01 October 1982

  • eBook ISBN: 978-1-4684-9327-6Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: X, 309

  • Topics: Group Theory and Generalizations

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