6533b85afe1ef96bd12ba064

RESEARCH PRODUCT

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

Adolfo Ballester-bolinchesRamon Esteban-romeroLuis M. Ezquerro

subject

Normal subgroupSemidirect productFinite groupPure mathematicsClass (set theory)Direct summandGeneral MathematicsPrime numberGrups Teoria deMaximal subgroupMaximal subgroupNormal subgroupApplications of MathematicsTheoretical Mathematical and Computational PhysicsSemidirect productOrder (group theory)ÀlgebraAlgebra over a fieldFinite groupMATEMATICA APLICADAMathematics

description

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

yearjournalcountryeditionlanguage
2014-01-01
10.1007/s11856-014-1095-yhttp://hdl.handle.net/10550/47678