Camina triples
Group Theory
2013-12-10 v2
Abstract
In this paper, we study Camina triples. Camina triples are a generalization of Camina pairs. Camina pairs were first introduced in 1978 by A.R. Camina in \cite{camina1}. Camina's work in \cite{camina1} was inspired by the study of Frobenius groups. We show that if is a Camina triple, then either is a -group, is nilpotent, or has a non-trivial nilpotent quotient.
Cite
@article{arxiv.1205.4313,
title = {Camina triples},
author = {Nabil Mlaiki},
journal= {arXiv preprint arXiv:1205.4313},
year = {2013}
}