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Algebra i 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
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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.
Received: 04.05.2010
English version:
Algebra and Logic, 2012, Volume 51, Issue 5, Pages 375–383
DOI: https://doi.org/10.1007/s10469-012-9198-1
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
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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    		Алгебра и логика Algebra and Logic
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