Solvability in groups with a chain condition on uniformly definable subgroups
Logic
2019-11-06 v1
Abstract
We prove a structure theorem for periodic locally soluble groups satisfying a chain condition on intersections of relatively uniformly definable subgroups using results from the theory of stable groups. The result in particular shows that these groups are soluble, thus giving a model-theoretic and much simpler proof of a special case of a theorem of Bryant and Hartley on the solubility of periodic locally soluble groups satisfying the minimal condition on centralizers.
Cite
@article{arxiv.1911.01589,
title = {Solvability in groups with a chain condition on uniformly definable subgroups},
author = {Jamshid Derakhshan},
journal= {arXiv preprint arXiv:1911.01589},
year = {2019}
}