Let $G$ be a group and $Aut(G)$ be the group of automorphisms of‎‎$G$‎. ‎For any natural‎number $m$‎, ‎the $m^{th}$-autocommutator subgroup of $G$ is defined‎‎as‎: ‎$$K_{m} (G)=\langle[g,\alpha_{1},\ldots,\alpha_{m}] |g\in G&l
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Let $G$ be a group and $Aut(G)$ be the group of automorphisms of‎‎$G$‎. ‎For any natural‎number $m$‎, ‎the $m^{th}$-autocommutator subgroup of $G$ is defined‎‎as‎: ‎$$K_{m} (G)=\langle[g,\alpha_{1},\ldots,\alpha_{m}] |g\in G‎,\‎alpha_{1},ldots,\alpha_{m}\in Aut(G)\rangle.$$‎‎In this paper‎, ‎we obtain the $m^{th}$-autocommutator subgroup of‎‎all finite abelian groups‎.
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