On extensions of completely simple semigroups by groups
Rings and Algebras
2013-08-15 v1 Group Theory
Abstract
An example of an extension of a completely simple semigroup U by a group H is given which cannot be embedded into the wreath product of U by H. On the other hand, every central extension of U by H is shown to be embeddable in the wreath product of U by H, and any extension of U by H is proved to be embeddable in a semidirect product of a completely simple semigroup V by H where the maximal subgroups of V are direct powers of those of U.
Cite
@article{arxiv.1308.3036,
title = {On extensions of completely simple semigroups by groups},
author = {Tamás Dékány},
journal= {arXiv preprint arXiv:1308.3036},
year = {2013}
}