Open AccessOn some generalizations of Baer's theorem
Author(s) -
Leonid A. Kurdachenko,
A.A. Pypka
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.2.310-316
Subject(s) - mathematics , automorphism , pure mathematics , group (periodic table) , discrete mathematics , physics , quantum mechanics
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.