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Algebra Logika, 2012, Volume 51, Number 5, Pages 565–578 (Mi al551)  

Groups with relatively small normalizers of primary subgroups

V. A. Antonov

National Research South Ural State University, Chelyabinsk, Russia

Abstract: The structure of finite groups $G$ is studied in which for every primary subgroup $A$, almost all of its automorphisms induced by elements of $G$ are inner. Namely, for any such subgroup, the index $|N(A):A\cdot C(A)|$ divides some prime number. These groups are called $NSP$-groups.

Keywords: finite group, inner automorphism, $NSP$-group.

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English version:
Algebra and Logic, 2012, 51:5, 375–383

Bibliographic databases:

UDC: 512.54
Received: 04.05.2010

Citation: V. A. Antonov, “Groups with relatively small normalizers of primary subgroups”, Algebra Logika, 51:5 (2012), 565–578; Algebra and Logic, 51:5 (2012), 375–383

Citation in format AMSBIB
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