Gröbner Bases and the Computation of Group Cohomology / Edition 1

Gröbner Bases and the Computation of Group Cohomology / Edition 1

by David J. Green
     
 

ISBN-10: 3540203397

ISBN-13: 9783540203391

Pub. Date: 01/22/2004

Publisher: Springer Berlin Heidelberg

This monograph develops the Gr bner 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.

Overview

This monograph develops the Gr bner 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.

Product Details

ISBN-13:
9783540203391
Publisher:
Springer Berlin Heidelberg
Publication date:
01/22/2004
Series:
Lecture Notes in Mathematics Series, #1828
Edition description:
2003
Pages:
144
Product dimensions:
0.33(w) x 9.21(h) x 6.14(d)

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: Gröbner 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.

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