On some generalizations of Baer's theorem


  • 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


$A$-center, $A$-commutator subgroup, co-layer-finite group, Baer's theorem
Published online: 2014-12-27


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.

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How to Cite
Kurdachenko, L.; Pypka, A. On Some Generalizations of Baer’s Theorem. Carpathian Math. Publ. 2014, 6, 310-316.

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