Simplicity of normal subgroups and conjugacy class sizes
Metadatos
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http://dx.doi.org/10.1007/s00605-013-0602-2 |
Metadatos
Título
Simplicity of normal subgroups and conjugacy class sizesFecha de publicación
2013Editor
SpringerISSN
0026-9255; 1436-5081Cita bibliográfica
BELTRÁN, Antonio; FELIPE, María José. Simplicity of normal subgroups and conjugacy class sizes. Monatshefte für Mathematik, 2013, p. 1-6Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007%2Fs00605-013-0602-2Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G -class sizes, we prove that N is isomorphic to PSL (2,2a) with a≥2 . Thus, we obtain an extension for normal subgroups ... [+]
Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G -class sizes, we prove that N is isomorphic to PSL (2,2a) with a≥2 . Thus, we obtain an extension for normal subgroups of the classic N. Itô’s theorem which characterizes those finite simple groups with exactly four class sizes. [-]
Publicado en
Monatshefte für Mathematik (2013)Derechos de acceso
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- MAT_Articles [766]