4.2 Article

Partial cohomology of groups and extensions of semilattices of abelian groups

Journal

JOURNAL OF PURE AND APPLIED ALGEBRA
Volume 222, Issue 10, Pages 2897-2930

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.jpaa.2017.11.005

Keywords

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Funding

  1. CNPq of Brazil [305975/2013-7]
  2. FAPESP of Brazil [2015/09162-9, 2012/01554-7]

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We extend the notion of a partial cohomology group H-n(G,A) to the case of non-unital A and find interpretations of H-1(G,A) and H-2(G,A) in the theory of extensions of semilattices of abelian groups by groups. (C) 2017 Elsevier B.V. All rights reserved.

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