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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive
Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 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

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.

UDC: 512.54

Received: 13.03.2012



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