On Finite Groups with Relatively Large Centralizers of Invariant Subgroups

V. A. Antonov, T. G. Nozhkina

South Ural State University

Abstract: In the paper, the finite groups $G$ are studied for which every invariant subgroup $A$ has the property that $|G:AC_G(A)|$ divides a fixed prime $p$.

Keywords: finite group, invariant subgroup, outer automorphism, solvable group, centralizer, nilpotent group.

UDC: 512.54

Received: 28.09.2010
Revised: 09.08.2013

DOI: 10.4213/mzm8966

 English version: Mathematical Notes, 2014, 95:5, 579–585

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