Stable Extensions of Complete Groups
Group Theory
2026-05-05 v2
Abstract
A group is said to be stable if it is isomorphic to its automorphism group. We investigate how we can extend centerless groups to construct finite stable groups with nontrivial centers. To this end, we classify all finite stable groups arising as central extensions of centerless groups. Furthermore, all finite stable groups arising as extensions of centerless groups by groups of nilpotency class two with trivial induced outer action on the kernel are classified.
Cite
@article{arxiv.2602.07728,
title = {Stable Extensions of Complete Groups},
author = {Isaac Ochoa},
journal= {arXiv preprint arXiv:2602.07728},
year = {2026}
}
Comments
10 pages