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Gröbner Bases and the Computation of Group Cohomology

  • Authors
  • David J. Green

Part of the Lecture Notes in Mathematics book series (LNM, volume 1828)

Table of contents

  1. Front Matter
    Pages I-XII
  2. David J. Green
    Pages 1-9
  3. David J. Green
    Pages 33-46
  4. David J. Green
    Pages 67-80
  5. David J. Green
    Pages 93-100
  6. David J. Green
    Pages 101-130
  7. David J. Green
    Pages 131-135
  8. Back Matter
    Pages 131-138

About this book

Introduction

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.

Keywords

Cohomology Gröbner basis algebra cohomology of finite groups computational homological algebra noncommutative Gröbner bases

Bibliographic information

  • DOI https://doi.org/10.1007/b93836
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20339-1
  • Online ISBN 978-3-540-39680-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site