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Gröbner Bases and the Computation of Group Cohomology

  • Book
  • © 2003

Overview

Authors:
  1. David J. Green
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1828)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • David J. Green
    Pages 1-9

  3. Part I: 1 Bases for finite-dimensional algebras and modules

    • David J. Green
    Pages 13-20

  4. Part I: 2 The Buchberger Algorithm for modules

    • David J. Green
    Pages 21-32

  5. Part I: 3 Constructing minimal resolutions

    • David J. Green
    Pages 33-46

  6. Part II: 4 Gröbner bases for graded commutative algebras

    • David J. Green
    Pages 49-65

  7. Part II: 5 The visible ring structure

    • David J. Green
    Pages 67-80

  8. Part II: 6 The completeness of the presentation

    • David J. Green
    Pages 81-90

  9. Part III: 7 Experimental results

    • David J. Green
    Pages 93-100

  10. A Sample cohomology calculations

    • David J. Green
    Pages 101-130

  11. Epilogue and References

    • David J. Green
    Pages 131-135

  12. Back Matter

    Pages 131-138
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Keywords

About this book

This monograph develops the Gröbner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J.F. Carlson's minimal resolutions approach to cohomology computations.

Bibliographic Information

  • Book Title: Gröbner Bases and the Computation of Group Cohomology

  • Authors: David J. Green

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b93836

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Softcover ISBN: 978-3-540-20339-1Published: 18 November 2003

  • eBook ISBN: 978-3-540-39680-2Published: 09 December 2003

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 144

  • Topics: Group Theory and Generalizations, Associative Rings and Algebras

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