Gröbner Bases and the Computation of Group Cohomology

Paperback Engels 2003 2003e druk 9783540203391
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Samenvatting

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.

Specificaties

ISBN13:9783540203391
Taal:Engels
Bindwijze:paperback
Aantal pagina's:144
Uitgever:Springer Berlin Heidelberg
Druk:2003

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Inhoudsopgave

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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        Gröbner Bases and the Computation of Group Cohomology