On an extension of Shlyk's theorem
Group Theory
2025-06-10 v2
Abstract
In this paper, we prove that the intersection of all non-nilpotent maximal subgroups of a non-solvable group containing the normalizer of some Sylow subgroup is nilpotent, which provides an extension of Shlyk's theorem.
Cite
@article{arxiv.2506.02885,
title = {On an extension of Shlyk's theorem},
author = {Jiangtao Shi and Fanjie Xu and Na Li},
journal= {arXiv preprint arXiv:2506.02885},
year = {2025}
}