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- W2032548447 abstract "In this paper, it is proved that a finite group G is p -nilpotent if every minimal subgroup of P ∩ O p ( G ) is permutable in P and N G ( P ) is p -nilpotent, and when p =2 either [Ω 2 (P∩O p (G)),P]⩽Ω 1 (P∩O p (G)) or P is quaternion-free, where p is a prime dividing the order of G and P is a Sylow p -subgroup of G . By using this result, we may get a series of corollaries for p -nilpotence, which contain some known results. Some other applications of this result are also given." @default.
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- W2032548447 date "2003-12-01" @default.
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- W2032548447 title "p-nilpotence of finite groups and minimal subgroups" @default.
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- W2032548447 doi "https://doi.org/10.1016/j.jalgebra.2003.05.004" @default.
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