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

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

2011-10-21

arxiv.org/abs/1110.4720v2

Mathematics

Group Theory

Scientific paper

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.

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