Gröbner Bases and the Computation of Group Cohomology

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 mini...

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Bibliographic Details
Main Author: Green, David J
Format: Book
Language:English
Subjects:
Algebra
Associative rings
Associative Rings and Algebras
Group theory
Group Theory and Generalizations
Homology theory
Mathematics
Mathematics and Statistics
Representations of groups
Rings (Algebra)
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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.
ISSN:0075-8434
1617-9692
DOI:10.1007/b93836