Skip to main content
  • Book
  • © 2003

Gröbner Bases and the Computation of Group Cohomology

Authors:

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

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    • David J. Green
    Pages 1-9
  3. Part I: 3 Constructing minimal resolutions

    • David J. Green
    Pages 33-46
  4. Part II: 5 The visible ring structure

    • David J. Green
    Pages 67-80
  5. Part III: 7 Experimental results

    • David J. Green
    Pages 93-100
  6. A Sample cohomology calculations

    • David J. Green
    Pages 101-130
  7. Epilogue and References

    • David J. Green
    Pages 131-135
  8. Back Matter

    Pages 131-138

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

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access