This article is cited in 5 papers

Finite solvable groups with all $n$-maximal subgroups $\mathfrak U$-subnormal

V. A. Kovaleva, A. N. Skiba

Skorina Gomel State University, Gomel, Belarus

Abstract: We describe the finite solvable groups with all $n$-maximal subgroups $\mathfrak U$-subnormal.

Keywords: $n$-maximal subgroup, solvable group, supersolvable group, minimal nonsupersolvable group, $\mathfrak U$-subnormal subgroup.

UDC: 512.542

Received: 15.10.2012

 English version: Siberian Mathematical Journal, 2013, 54:1, 64–72

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