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- W2121914489 abstract "In this paper we obtain various sufficient conditions for the solubility of a finite group. In particular, we show that if G is a finite group and p ≥5 is a prime such that all p′ -subgroups of G are nilpotent, then G is soluble. We show also that if G is a finite group which has a cyclic Sylow p -subgroup P and such that for all p′ -subgroups H of G, H is nilpotent and H′ is cyclic, then, if p ≠3, either P ◃ G or G has a normal p -complement." @default.
- W2121914489 created "2016-06-24" @default.
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- W2121914489 date "1973-01-01" @default.
- W2121914489 modified "2023-09-27" @default.
- W2121914489 title "Solubility theorems for finite groups" @default.
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- W2121914489 doi "https://doi.org/10.1017/s0305004100047393" @default.
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