On some generalizations of Baer's theorem

L.A. Kurdachenko; A.A. Pypka

doi:10.15330/cmp.6.2.310-316

On some generalizations of Baer's theorem

Authors

L.A. Kurdachenko Oles Honchar Dnipropetrovsk National University,72 Gagarin avenue, 49010, Dnipropetrovsk, Ukraine
A.A. Pypka Oles Honchar Dnipro National University, 72 Gagarin avenue, 49010, Dnipro, Ukraine

https://doi.org/10.15330/cmp.6.2.310-316

Keywords:

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

Published online: 2014-12-27

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.