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Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Jiang, Qinhui; Li, Xianhua | |||
Aquest document és un/a article, creat/da en: 2015 | |||
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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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