Camina Triples
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 125-131

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DOI

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.
DOI : 10.4153/CMB-2013-014-0
Mots-clés : 20D15, Camina triples, Camina pairs, nilpotent groups, vanishing off subgroup, irreducible characters, solvable groups
Mlaiki, Nabil M. Camina Triples. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 125-131. doi: 10.4153/CMB-2013-014-0
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     title = {Camina {Triples}},
     journal = {Canadian mathematical bulletin},
     pages = {125--131},
     year = {2014},
     volume = {57},
     number = {1},
     doi = {10.4153/CMB-2013-014-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-014-0/}
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