On the structure of some contranormal-free groups
Group Theory
2021-04-14 v1
Abstract
A subgroup of a group is contranormal if its normal closure coincides with the group. We call such groups without proper contranormal subgroups contranormal-free. In this paper we prove various results concerning contranormal-free groups proving, for example that locally generalized radical contranormal-free groups which have finite section rank are hypercentral.
Cite
@article{arxiv.2104.05811,
title = {On the structure of some contranormal-free groups},
author = {Martyn R. Dixon and Leonid A. Kurdachenko and Igor Ya. Subbotin},
journal= {arXiv preprint arXiv:2104.05811},
year = {2021}
}