Gröbner bases and the computation of group cohomology
Author(s)
Bibliographic Information
Gröbner bases and the computation of group cohomology
(Lecture notes in mathematics, 1828)
Springer-Verlag, c2003
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Note
Includes bibliographical references (p. [133]-135) and index
Description and Table of Contents
Description
This monograph develops the Groebner 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.
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: Groebner 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.
by "Nielsen BookData"