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arXiv · 1705.09654

Partial cohomology of groups and extensions of semilattices of abelian groups

Mikhailo Dokuchaev·Mykola Khrypchenko
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Abstract

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.

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Mikhailo Dokuchaev, Mykola Khrypchenko. 2017-05-26. Partial cohomology of groups and extensions of semilattices of abelian groups. https://arxiv.org/abs/1705.09654

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