Normal subgroups and p-regular G-class sizes.
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Otros documentos de la autoría: Beltrán, Antonio; Akhlaghi, zeinab; Felipe, Maria José; Khatami, Maryam
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http://dx.doi.org/10.1016/j.jalgebra.2011.04.004 |
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Título
Normal subgroups and p-regular G-class sizes.Fecha de publicación
2011-06Editor
© 2011 ElsevierISSN
0021-8693Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S002186931100189XVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then ... [+]
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then either H is abelian or H is a product of a q-group for some prime q≠p and a central subgroup of G. [-]
Publicado en
Journal of Algebra (June 2011), vol. 336, no. 1, 236-241Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [761]