On the p-length of some finite p-soluble groups
Fecha
2014Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1007/s11856-014-1095-y
Resumen
The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose p-length is greater than 1, p a prime number. Alternative proofs and improvements of recent results about the influence of minimal p-subgroups on the p-nilpotence and p-length of a finite group arise as consequences of our study. ...
[++]
The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose p-length is greater than 1, p a prime number. Alternative proofs and improvements of recent results about the influence of minimal p-subgroups on the p-nilpotence and p-length of a finite group arise as consequences of our study. [--]
Materias
Normal subgroup,
Finite group,
Maximal subgroup,
Direct summand,
Semidirect product
Editor
Springer
Publicado en
Israel Journal of Mathematics, 2014, 204, 359-371
Departamento
Universidad Pública de Navarra. Departamento de Matemáticas /
Nafarroako Unibertsitate Publikoa. Matematika Saila
Versión del editor
Entidades Financiadoras
The research of the authors is supported by Proyecto MTM2010-19938-C03-01/03 of the Ministerio de Ciencia e Innovación de España. The first author is also supported by Project of NSFC (11271085).