A real chain condition for groups
Group Theory
2023-07-18 v1
Abstract
We consider a very weak chain condition for a poset, that is the absence of subsets which are order isomorphic to the set of real numbers in their natural ordering; we study generalised radical groups in which this finiteness condition is set on the poset of subgroups which do not have certain properties which are generalizations of normality. This completes many previous results which considered (apparently) stronger chain conditions.
Cite
@article{arxiv.2307.07639,
title = {A real chain condition for groups},
author = {Ulderico Dardano and Fausto De Mari},
journal= {arXiv preprint arXiv:2307.07639},
year = {2023}
}