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

V. N. Kniahina; V. S. Monakhov

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arXiv · 1105.3663

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

V. N. Kniahina·V. S. Monakhov

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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 $H=H_0\subset H_1\subset...\subset H_n=G$ such that $|H_i:H_{i-1}|$ is prime for $1\le i\le n$. In this paper we study the groups all of whose 2-maximal subgroups are $\Bbb P$-subnormal.

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BibTeX RIS

V. N. Kniahina, V. S. Monakhov. 2011-05-18. Finite groups with $\Bbb P$-subnormal 2-maximal subgroups. https://arxiv.org/abs/1105.3663

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