Grobner Bases And The Computation Of Group Cohomology by David J. GreenGrobner Bases And The Computation Of Group Cohomology by David J. Green

Grobner Bases And The Computation Of Group Cohomology

byDavid J. Green

Paperback | November 18, 2003

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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.

Title:Grobner Bases And The Computation Of Group CohomologyFormat:PaperbackDimensions:144 pagesPublished:November 18, 2003Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540203397

ISBN - 13:9783540203391

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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.