Orbits classifying extensions of prime power order groups
Group Theory
2023-09-25 v2
Abstract
The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We study these orbits in the case of extensions of a finite abelian -group by a cyclic factor of order . As an application, we compute number and sizes of these orbits when the initial -group is generated by at most elements.
Keywords
Cite
@article{arxiv.2007.00344,
title = {Orbits classifying extensions of prime power order groups},
author = {Oihana Garaialde Ocaña and Mima Stanojkovski},
journal= {arXiv preprint arXiv:2007.00344},
year = {2023}
}
Comments
25 pages; to appear in International Journal of Group Theory; revisions including referee's suggestions to shorten some arguments