Title: Finite groups with ℙ-subnormal 2-maximal subgroups
Authors: Kniahina, V.N.
Monakhov, V.S.
Княгина, В.Н.
Монахов, В.С.
Keywords: finite group
ℙ-subnormal subgroup
2-maximal subgroup
Issue Date: 2011
Citation: Kniahina, V.N. Finite groups with ℙ-subnormal 2-maximal subgroups / V.N. Kniahina, V.S. Monakhov // arXiv.org.math.GR. - 2011. - arXiv:1105.3663v1. - P. [1-8].
Abstract: A subgroup H of a group G is called P-subnormal in G if either H = G or there is a chain of subgroups H = H0 ⊂ H1 ⊂ . . . ⊂ Hn = G such that |Hi : Hi−1| is prime for 1 ≤ i ≤ n. In this paper we study the groups all of whose 2-maximal subgroups are P-subnormal.
URI: http://elib.gsu.by/jspui/handle/123456789/17228
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