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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 23–28 (Mi timm960)  
On groups with relatively small normalizers of nonabelian subgroups

V. A. Antonov

South Ural State University
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Abstract: We investigate the structure of a finite nonsolvable group $G$ in which for any nonabelian subgroup $A$ the index $|N_G(A):AC_G(A)|$ is equal to the unit or a prime.
Keywords: finite group, subgroup, normalizer, centralizer.
Received: 25.11.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 285, Issue 1, Pages S19–S24
DOI: https://doi.org/10.1134/S0081543814050034
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Antonov, “On groups with relatively small normalizers of nonabelian subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 23–28; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S19–S24
Citation in format AMSBIB
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