arXiv Analytics

Sign in

arXiv:1705.09654 [math.GR]AbstractReferencesReviewsResources

Partial cohomology of groups and extensions of semilattices of abelian groups

Mikhailo Dokuchaev, Mykola Khrypchenko

Published 2017-05-26Version 1

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.

Related articles: Most relevant | Search more
arXiv:2104.13481 [math.GR] (Published 2021-04-27)
Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups
arXiv:2501.08357 [math.GR] (Published 2025-01-14)
Extensions of a family of Linear Cycle Sets
arXiv:math/0602304 [math.GR] (Published 2006-02-14, updated 2006-08-29)
Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups