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Sidki, Said
Proceedings of the American Mathematical Society, 1972, Volume: 32, Issue: 2Journal Article
Let $G$ be a finite group, $\sigma$ an automorphism of $G, M$ a $\sigma$-invariant subgroup of $G$, and $n$ a fixed integer. If $\sigma (g) \in g^nM$ for all $g \in G$ then there exists a $\sigma$-invariant normal subgroup $K$ of $G$, contained in $M$, with $\sigma (g) \in g^nK$ for all $g \in G$.
