On a class of generalised Schmidt groups
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https://riunet.upv.es/handle/10251/64841
Cita bibliográfica
Ballester Bolinches, A.; Esteban Romero, R.; Jiang, Q.; Li, X. (2015). On a class of generalised Schmidt groups. Annali di Matematica Pura ed Applicata. 194(1):77-86. https://doi.org/10.1007/s10231-013-0365-3
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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.
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The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-013-0365-3
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Annali di Matematica Pura ed Applicata issn: 0373-3114