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Link to original content: https://doi.org/10.1007/BFb0092624
Topics in Cohomology of Groups | SpringerLink
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Topics in Cohomology of Groups

  • Book
  • © 1996

Overview

Authors:
  1. Serge Lang
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1625)

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About this book

The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-2
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  2. Existence and uniqueness

    • Serge Lang
    Pages 3-36

  3. Relations with subgroups

    • Serge Lang
    Pages 37-61

  4. Cohomological triviality

    • Serge Lang
    Pages 62-72

  5. Cup products

    • Serge Lang
    Pages 73-108

  6. Augmented products

    • Serge Lang
    Pages 109-115

  7. Spectral sequences

    • Serge Lang
    Pages 116-122

  8. Groups of galois type

    • Serge Lang
    Pages 123-155

  9. Group extensions

    • Serge Lang
    Pages 156-165

  10. Class formations

    • Serge Lang
    Pages 166-187

  11. Applications of Galois cohomology in algebraic geometry

    • John Tate
    Pages 188-215

  12. Back Matter

    Pages 217-226
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Bibliographic Information

  • Book Title: Topics in Cohomology of Groups

  • Authors: Serge Lang

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092624

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61181-3Published: 19 August 1996

  • eBook ISBN: 978-3-540-68337-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 227

  • Topics: Group Theory and Generalizations, K-Theory

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