Groups with the real chain condition on non-pronormal subgroups
Group Theory
2023-07-19 v1
Abstract
It is shown that a gerenalised radical group has no chain of non-pronormal subgroups with the same order type as the set of the real numbers if and only if either the group is minimax or all subgroups are pronormal.
Cite
@article{arxiv.2307.09003,
title = {Groups with the real chain condition on non-pronormal subgroups},
author = {Ulderico Dardano and Fausto De Mari},
journal= {arXiv preprint arXiv:2307.09003},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2307.07639