On some generalizations of Baer's theorem

L. A. Kurdachenko, O. O. Pypka

Abstract


In this paper we obtained new automorphic analogue of Baer's theorem for the case when an arbitrary subgroup $A\leq Aut(G)$ includes a group of inner automorphisms $Inn(G)$ of agroup $G$ and the factor-group $A/Inn(G)$ is co-layer-finite.

Keywords


$A$-center, $A$-commutator subgroup, co-layer-finite group, Baer's theorem

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