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Let G$G$ be a non abelian group and Gn={x^n; x€G}$G_n=\{x^n | x\in G\}$ and n is integer..is Is there a sufficient condition that makes Gn$G_n$ be a subgroup of G$G$ for arbitrary n..$n$?
Let G be a non abelian group and Gn={x^n; x€G} and n is integer..is there a sufficient condition makes Gn be a subgroup of G for arbitrary n..
Let $G$ be a non abelian group and $G_n=\{x^n | x\in G\}$ and n is integer. Is there a sufficient condition that makes $G_n$ be a subgroup of $G$ for arbitrary $n$?
