The continuation of finite $E_\mathfrak{F}$-groups theory

Irina Sokhor

The continuation of finite $E_\mathfrak{F}$-groups theory

Group Theory 2020-11-11 v1

Authors: Irina Sokhor

Abstract

We describe the structure of finite groups with $\mathfrak{F}$ -subnormal or self-normalizing primary cyclic subgroups when $\mathfrak{F}$ is a subgroup-closed saturate superradical formation containing all nilpotent groups. We prove that groups with absolutely $\mathfrak{F}$ -subnormal or self-normalizing primary cyclic subgroups are soluble when $\mathfrak{F}$ is a subgroup-closed saturate formation containing all nilpotent groups.

Keywords

finite groups subgroup-closed saturate formation nilpotent groups subnormal subgroups primary cyclic subgroups soluble groups

Cite

@article{arxiv.2011.05291,
  title  = {The continuation of finite $E_\mathfrak{F}$-groups theory},
  author = {Irina Sokhor},
  journal= {arXiv preprint arXiv:2011.05291},
  year   = {2020}
}

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