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math.GR2019
The third partial cohomology group and existence of extensions of semilattices of groups by groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Mayumi Makuta
We introduce the concept of a partial abstract kernel associated to a group G and a semilattice of groups A and relate the partial cohomology group H^3(G,C(A)) with the obstruction…
math.GR2017
Schur's theory for partial projective representations
Mikhailo Dokuchaev, Nicola Sambonet
This article focuses on those aspects about partial actions of groups which are related to Schur's theory on projective representations. It provides an exhaustive description of th…