English

Solitary quotients of finite groups

Group Theory 2018-06-01 v1

Abstract

In this paper we introduce and study the lattice of normal subgroups of a group GG that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of GG (see \cite{5}). A precise description of this lattice is given for some particular classes of finite groups.

Keywords

Cite

@article{arxiv.1805.12159,
  title  = {Solitary quotients of finite groups},
  author = {Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:1805.12159},
  year   = {2018}
}