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Camina Triples
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AbstractIn 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.
Title: Camina Triples
Description:
AbstractIn 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.
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