Gröbner bases and the computation of group cohomology
著者
書誌事項
Gröbner bases and the computation of group cohomology
（Lecture notes in mathematics, 1828）
Springer-Verlag, c2003
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注記
Includes bibliographical references (p. [133]-135) and index
内容説明・目次
内容説明
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.
目次
- 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.
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