Gröbner bases and the computation of group cohomology

Author(s)

• Green, D. J. (David J.)

Bibliographic Information

Gröbner bases and the computation of group cohomology

David J. Green

（Lecture notes in mathematics, 1828）

Springer-Verlag, c2003

Note

Includes bibliographical references (p. [133]-135) and index

Description and Table of Contents

Description

This monograph develops the Groebner 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.

Table of Contents

• Introduction.- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules
• The Buchberger Algorithm for modules
• Constructing minimal resolutions.- Part II Cohomology ring structure: Groebner bases for graded commutative algebras
• The visible ring structure
• The completeness of the presentation.- Part III Experimental results: Experimental results.- A. Sample cohomology calculations.- Epilogue.- References.- Index.

by "Nielsen BookData"

Details

• NCID: BA64721061
• ISBN:
  • 3540203397
• LCCN: 2003066696
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: xi, 138 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA251.5
  • DC22 : 510 s
  • DC22 : 512/.46
• Subject Headings:
  • LCSH : Associative rings
  • LCSH : Rings (Algebra)
  • LCSH : Representations of groups
  • LCSH : Homology theory
• Parent Bibliography ID:
  • BA00146586