On the isomorphism problem for central extensions II
Group Theory
2024-02-13 v1
Abstract
In this paper, we study the isomorphism problem for central extensions. More precisely, in some new situations, we provide necessary and sufficient conditions for two central extensions to be isomorphic. We investigate the case when the quotient group is simple or purely non-abelian. Furthermore, we characterize isomorphisms leaving the quotient group invariant. Finally, we deal with isomorphisms of central extensions where the kernel group and the quotient group are isomorphic.
Cite
@article{arxiv.2402.07679,
title = {On the isomorphism problem for central extensions II},
author = {Noureddine Snanou},
journal= {arXiv preprint arXiv:2402.07679},
year = {2024}
}