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＜E-Book＞
Gröbner Bases and the Computation of Group Cohomology / by David J. Green
(Lecture Notes in Mathematics. ISSN:16179692 ; 1828)

Edition	1st ed. 2003.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2003
Size	XII, 144 p : online resource
Authors	*Green, David J author SpringerLink (Online service)
Subjects	LCSH:Group theory LCSH:Associative rings LCSH:Associative algebras FREE:Group Theory and Generalizations FREE:Associative Rings and Algebras
Notes	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 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 HTTP:URL=https://doi.org/10.1007/b93836

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