Finite groups with $\mathbb P$-subnormal primary cyclic subgroups

V. N. Kniahina; V. S. Monakhov

Finite groups with $\mathbb P$-subnormal primary cyclic subgroups

Group Theory 2011-11-21 v2

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

Abstract

A subgroup $H$ of a group $G$ is called $\mathbb P$ -subnormal in $G$ whenever 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 a prime for all $i$ . In this paper, we study the groups in which all primary cyclic subgroups are $\mathbb P$ -subnormal.

Keywords

finite group theory finite groups permutation groups

Cite

@article{arxiv.1110.4720,
  title  = {Finite groups with $\mathbb P$-subnormal primary cyclic subgroups},
  author = {V. N. Kniahina and V. S. Monakhov},
  journal= {arXiv preprint arXiv:1110.4720},
  year   = {2011}
}

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