Finite groups with \Bbb P-subnormal 2-maximal subgroups

2011/05/18 by V. N. Kniahina, Kniahina, V. N., V. S. Monakhov +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1105.3663

arxiv created 2011/05/18 · arxiv updated 2011/05/19

Abstract

A subgroup H of a group G is called \Bbb P-\sl subnormal in G if either H=G or there is a chain of subgroups H=H₀⊂ H₁⊂...⊂ H_n=G such that |H_i:H_i-1| is prime for 1≤ i≤ n. In this paper we study the groups all of whose 2-maximal subgroups are \Bbb P-subnormal.

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