2 papers
math.GR2021
Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups
Mikhailo Dokuchaev, Mykola Khrypchenko, Mayumi Makuta
We define and study the notion of a crossed module over an inverse semigroup and the corresponding -term exact sequences, called crossed module extensions. For a crossed module…
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…