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

V. N. Kniahina; V. S. Monakhov

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

Group Theory 2011-05-19 v1

Authors: V. N. Kniahina , V. S. Monakhov

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.

Keywords

finite group theory finite groups

Cite

@article{arxiv.1105.3663,
  title  = {Finite groups with $\Bbb P$-subnormal 2-maximal subgroups},
  author = {V. N. Kniahina and V. S. Monakhov},
  journal= {arXiv preprint arXiv:1105.3663},
  year   = {2011}
}

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