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

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

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 -subgr...

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Veröffentlicht in:Israel journal of mathematics 2014-10, Vol.204 (1), p.359-371
Hauptverfasser: Ballester-Bolinches, Adolfo, Esteban-Romero, Ramón, Ezquerro, Luis M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Zusammenfassung: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.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-014-1095-y