On the p-length of some finite p-soluble groups

Date

2014

Authors

Ballester Bolinches, Adolfo
Esteban Romero, Ramón

Director

Publisher

Springer
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

Impacto
No disponible en Scopus

Abstract

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.

Description

Keywords

Normal subgroup, Finite group, Maximal subgroup, Direct summand, Semidirect product

Department

Matemáticas / Matematika

Faculty/School

Degree

Doctorate program

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© 2014, Springer Nature

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