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arXiv · 2506.02885

On an extension of Shlyk's theorem

Jiangtao Shi·Fanjie Xu·Na Li
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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.

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Jiangtao Shi, Fanjie Xu, Na Li. 2025-06-03. On an extension of Shlyk's theorem. https://arxiv.org/abs/2506.02885

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