caa a22 4500 605496005 CHVBK 20210128100534.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10231-013-0365-3 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0365-3 On a class of generalised Schmidt groups [Elektronische Daten] [A. Ballester-Bolinches, R. Esteban-Romero, Qinhui Jiang, Xianhua Li] In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An $$A_5$$ 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Finite groups nationallicence Nilpotent groups nationallicence Maximal subgroups nationallicence Ballester-Bolinches A. Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain aut Esteban-Romero R. Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain aut Jiang Qinhui School of Mathematical Sciences, University of Jinan, 250002, Jinan, China aut Li Xianhua School of Mathematical Science, Soochow University, 215006, Suzhou, China aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 77-86 0373-3114 194:1<77 2015 194 10231 https://doi.org/10.1007/s10231-013-0365-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0365-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ballester-Bolinches A. Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain aut NATIONALLICENCE 700 1- Esteban-Romero R. Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain aut NATIONALLICENCE 700 1- Jiang Qinhui School of Mathematical Sciences, University of Jinan, 250002, Jinan, China aut NATIONALLICENCE 700 1- Li Xianhua School of Mathematical Science, Soochow University, 215006, Suzhou, China aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 77-86 0373-3114 194:1<77 2015 194 10231