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- W4366999487 abstract "Let $ H $ be a subgroup of a finite group $ G $. We say that $ H $ satisfies the partial $ Pi $-property in $ G $ if if there exists a chief series $ varGamma_{G}: 1 =G_{0} < G_{1} < cdotcdotcdot < G_{n}= G $ of $ G $ such that for every $ G $-chief factor $ G_{i}/G_{i-1} (1leq ileq n) $ of $ varGamma_{G} $, $ | G / G_{i-1} : N_{G/G_{i-1}} (HG_{i-1}/G_{i-1}cap G_{i}/G_{i-1})| $ is a $ pi (HG_{i-1}/G_{i-1}cap G_{i}/G_{i-1}) $-number. In this paper, we study the influence of some second minimal or second maximal subgroups of a Sylow subgroup satisfying the partial $ Pi $-property on the structure of a finite group $ G $." @default.
- W4366999487 created "2023-04-27" @default.
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- W4366999487 date "2023-04-22" @default.
- W4366999487 modified "2023-09-27" @default.
- W4366999487 title "On the partial $Pi$-property of second minimal or second maximal subgroups of Sylow subgroups of finite groups" @default.
- W4366999487 doi "https://doi.org/10.48550/arxiv.2304.11451" @default.
- W4366999487 hasPublicationYear "2023" @default.
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