descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2015Embargo end date: 01 Jan 2013 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 427, pages 142-182 (issn: 0021-8693,

Authors: M. Dokuchaev; M. Khrypchenko;

doi: 10.1016/j.jalgebra.2014.11.030 , 10.48550/arxiv.1309.7069

arXiv: 1309.7069

Partial cohomology of groups

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Abstract

We develop a cohomology theory of groups based on partial actions and explore its relation with the partial Schur multiplier as well as with cohomology of inverse semigroups.

We added a corrigendum in which we prove a corrected version of Theorem 5.4 from [v2]

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Keywords

partial actions, Primary 20J06, Secondary 18G60, 20C25, 20M18, 20M15, 20M30, 20M50, Mathematics - Rings and Algebras, Group Theory (math.GR), Inverse semigroups, partial cohomology, Rings and Algebras (math.RA), FOS: Mathematics, Connections of semigroups with homological algebra and category theory, Cohomology of groups, Other (co)homology theories, Projective representations and multipliers, Mathematics - Group Theory, Schur multipliers

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