Gröbner Bases and the Computation of Group Cohomology / by David J. Green.

Format:

Book

Author/Creator:

Green, David J., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1828.

Lecture Notes in Mathematics, 0075-8434 ; 1828

Language:

English

Subjects (All):

Group theory.

Algebra.

Group Theory and Generalizations.

Associative Rings and Algebras.

Local Subjects:

Group Theory and Generalizations.

Associative Rings and Algebras.

Physical Description:

1 online resource (XII, 144 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783540396802

Access Restriction:

Restricted for use by site license.