Skip to main content

Introduction

  • 634 Accesses

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

Abstract

The motivation for this book is the desire to perform complete calculations of cohomology rings in the cohomology theory of finite groups. The theories presented here belong to that area of computational algebra known as noncommutative Gröbner bases. It happens that existing Gröbner basis methods perform particularly poorly here, and so new types of Gröbner bases had to be developed, informed by practical computability considerations.

Keywords

  • Spectral Sequence
  • Simple Module
  • Cohomology Ring
  • Basic Algebra
  • Minimal Resolution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David J. Green .

Rights and permissions

Reprints and Permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Green, D.J. (2003). Introduction. In: Gröbner Bases and the Computation of Group Cohomology. Lecture Notes in Mathematics, vol 1828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39680-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39680-2_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20339-1

  • Online ISBN: 978-3-540-39680-2

  • eBook Packages: Springer Book Archive