Abstract
In this paper, we study Camina triples. Camina triples are a generalization of Camina pairs, first introduced in 1978 by A. R. Camina. Camina’s work was inspired by the study of Frobenius groups. We show that if
$(G,\,N,\,M)$
is a Camina triple, then either
$G/N$
is a
$p$
-group, or
$M$
is abelian, or
$M$
has a non-trivial nilpotent or Frobenius quotient.