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On the p-length of some finite p-soluble groups |
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| Authors: | Adolfo Ballester-Bolinches Ramón Esteban-Romero Luis M. Ezquerro |
| Affiliation: | 1. Departament d’àlgebra, Universitat de València, Dr. Moliner, 50, E-46100, Burjassot, València, Spain 2. Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, E-46022, València, Spain 3. Departamento de Matemáticas, Universidad Pública de Navarra, Campus de Arrosadía, E-31006, Pamplona, Navarra, Spain |
| 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. |
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