On the Frattini lemma

Details On the Frattini lemma On the Frattini lemma

2012-02-26

arxiv.org/abs/1202.5736v1

Mathematics

Group Theory

Scientific paper

Let $K$ be a subgroup of a finite group $G$, and suppose that $G=KN_G(P)$ for
every Sylow subgroup $P$ of $K$. Then the subgroup $K$ is normal in $G$.

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