Infinite simple groups with no proper abnormal subgroups
Group Theory
2025-06-23 v2
Abstract
Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups also provide a negative answer to a question highlighted by Kurdachenko, Russo, and Vincenzi.
Cite
@article{arxiv.2505.07330,
title = {Infinite simple groups with no proper abnormal subgroups},
author = {Samuel M. Corson},
journal= {arXiv preprint arXiv:2505.07330},
year = {2025}
}