Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 7, Pages 6–10 (Mi vyurm116)  
Mathematics

Finite solvable groups with relatively small nonprimary subgroups normalizers

V. A. Antonov, N. N. Amineva

South Ural State University
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Abstract: Complete description of finite solvable groups, in which for every nonprimary subgroup $A$ index $|N(A):A\cdot C(A)|$ divides some prime number, is obtained.
Keywords: group, subgroup, automorphism, normalizer, centralizer.
Received: 13.03.2012
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Antonov, N. N. Amineva, “Finite solvable groups with relatively small nonprimary subgroups normalizers”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 6–10
Citation in format AMSBIB
\Bibitem{AntAmi12}
\by V.~A.~Antonov, N.~N.~Amineva
\paper Finite solvable groups with relatively small nonprimary subgroups normalizers
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 7
\pages 6--10
\mathnet{http://mi.mathnet.ru/vyurm116}
\elib{https://elibrary.ru/item.asp?id=18044641}
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