Camina Triples
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 125-131
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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.
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
@article{10_4153_CMB_2013_014_0,
author = {Mlaiki, Nabil M.},
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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