Extending Camina pairs
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Título
Extending Camina pairsFecha de publicación
2023Editor
ElsevierCita bibliográfica
AKHLAGHI, Zeinab; BELTRÁN, Antonio. Extending Camina pairs. Journal of Algebra, 2023, vol. 622, p. 220-232.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0021869323000480Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Let G be a finite group and N a nontrivial proper normal
subgroup of G. A.R. Camina introduced the class of finite
groups G, which extends Frobenius groups, satisfying that for
all g ∈ G − N and n ∈ N, gn is conjugate ... [+]
Let G be a finite group and N a nontrivial proper normal
subgroup of G. A.R. Camina introduced the class of finite
groups G, which extends Frobenius groups, satisfying that for
all g ∈ G − N and n ∈ N, gn is conjugate to g. He proved
that under these assumptions one of three possibilities occurs:
G is a Frobenius group with kernel N; or N is a p-group;
or G/N is a p-group. In this paper we extend this class of
groups by investigating the structure of those finite groups G
having a nontrivial proper normal subgroup N such that gn is
conjugate to either g or g−1 for all g ∈ G − N and all n ∈ N. [-]
Publicado en
Journal of Algebra 622 (2023).Derechos de acceso
info:eu-repo/semantics/openAccess
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