6533b854fe1ef96bd12af502

RESEARCH PRODUCT

On a class of generalised Schmidt groups

Xianhua LiAdolfo Ballester-bolinchesQinhui JiangQinhui JiangRamon Esteban-romeroRamon Esteban-romero

subject

Group (mathematics)Applied MathematicsMathematics::Rings and AlgebrasGrups Teoria deCycle graph (algebra)Sporadic groupFinite groupsNon-abelian groupCombinatoricsMathematics::Group TheoryGroup of Lie typeLocally finite groupSimple groupNilpotent groupsMaximal subgroupsOrder (group theory)ÀlgebraMATEMATICA APLICADAMathematics::Representation TheoryMathematics

description

In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.

yearjournalcountryeditionlanguage
2015-01-01Annali di Matematica Pura ed Applicata (1923 -)
https://doi.org/10.1007/s10231-013-0365-3