Gröbner Bases and the Computation of Group Cohomology
Edition: 1 edition
Publisher: Springer
Published: January 22, 2004
Language: eng
Format: Paperback
Number of pages: 138
ISBN-13: 9783540203391
Subjects: Algebra; Representations of groups; Group Theory; Mathematics; Science/Mathematics; Rings (Algebra); Algebra - General; 20J06, 16S15, 16E05, 16Z05, 20C05, 20D15; Mathematics / Group Theory; cohomology of finite groups; computational homological algebra; noncommutative Gröbner bases; General; Associative rings; Homology theory
First sentence: Let G be a p-group and k a field of characteristic p.
Description: 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.
Notes: Lecture Notes in Mathematics