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Matematicheskie Zametki, 2014, Volume 95, Issue 5, Pages 643–650
DOI: https://doi.org/10.4213/mzm8966 (Mi mzm8966) 		 
On Finite Groups with Relatively Large Centralizers of Invariant Subgroups

V. A. Antonov, T. G. Nozhkina

South Ural State University
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DOI: https://doi.org/10.4213/mzm8966
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.
Received: 28.09.2010
Revised: 09.08.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 5, Pages 579–585
DOI: https://doi.org/10.1134/S0001434614050010
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Antonov, T. G. Nozhkina, “On Finite Groups with Relatively Large Centralizers of Invariant Subgroups”, Mat. Zametki, 95:5 (2014), 643–650; Math. Notes, 95:5 (2014), 579–585
Citation in format AMSBIB
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