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010   $a3-540-39680-2
024 7 $a10.1007/b93836
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035   $a(PQKBTitleCode)TC0000323643
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035   $a(DE-He213)978-3-540-39680-2
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100   $a20150519d2003      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aGröbner Bases and the Computation of Group Cohomology$b[electronic resource] /$fby David J. Green
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (XII, 144 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1828
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-20339-7 
320   $aIncludes bibliographical references (pages [133]-135) and index.
327   $aIntroduction -- 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.
330   $aThis monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson?s minimal resolutions approach to cohomology computations.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1828
606   $aGroup theory
606   $aAssociative rings
606   $aRings (Algebra)
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
615  0$aGroup theory.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615 14$aGroup Theory and Generalizations.
615 24$aAssociative Rings and Algebras.
676   $a510
700   $aGreen$b David J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0151082
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466490603316
996   $aGröbner bases and the computation of group cohomology$9253278
997   $aUNISA