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- W4385327893 abstract "In this paper, we determine the finite groups with a Sylow $r$-subgroup contained in a unique maximal subgroup. The proof involves a reduction to almost simple groups, and our main theorem extends earlier work of Aschbacher in the special case $r=2$. Several applications are presented. This includes some new results on weakly subnormal subgroups of finite groups, which can be used to study variations of the Baer-Suzuki theorem." @default.
- W4385327893 created "2023-07-28" @default.
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- W4385327893 date "2023-07-26" @default.
- W4385327893 modified "2023-10-14" @default.
- W4385327893 title "On the maximal overgroups of Sylow subgroups of finite groups" @default.
- W4385327893 doi "https://doi.org/10.48550/arxiv.2307.13976" @default.
- W4385327893 hasPublicationYear "2023" @default.
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