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- W4248459281 abstract "Let $G$ be a finite group, let $H leq G$, and let $pi$ be the set of prime divisors of $left | H right |$. Assume that whenever two elements of $H$ are $G$-conjugate then they are $H$-conjugate. Assume that for all $h in {H^# }$, $({C_G}(h):{C_H}(h))$ is a $pi â$-number. We prove that $H$ is a $pi$-Hall subgroup and that there exists a normal complement ${G_0} = G - {({H^# })^{G,pi }}$. An example shows that the generalization to relative normal complements is not true." @default.
- W4248459281 created "2022-05-12" @default.
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- W4248459281 date "1985-09-01" @default.
- W4248459281 modified "2023-09-25" @default.
- W4248459281 title "On Relative Normal Complements in Finite Groups. III" @default.
- W4248459281 doi "https://doi.org/10.2307/2045562" @default.
- W4248459281 hasPublicationYear "1985" @default.
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