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TitleComputing group cohomology rings from the Lyndon–Hochschild–Serre spectral sequence
Author(s) Graham Ellis, S. M. Paulus
TypeArticle in Journal
AbstractWe describe a method for computing presentations of cohomology rings of small finite p -groups. The description differs from other accounts in the literature in two main respects. First, we suggest some techniques for improving the efficiency of the obvious linear algebra approach to computing projective resolutions over a group algebra. Second, we use an implementation of the multiplicative structure of the Lyndon–Hochschild–Serre spectral sequence for determining how much of a projective resolution needs to be computed in order to obtain a presentation of the cohomology ring.
KeywordsComputational algebra, Cohomology rings, Finite p -groups, Kernels of derivations
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717110001501
LanguageEnglish
JournalJournal of Symbolic Computation
Volume46
Number4
Pages360 - 370
Year2011
Edition0
Translation No
Refereed No
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