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On finite groups with many supersoluble subgroups

Repositori DSpace/Manakin

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Lu, Jiakuan
dc.date.accessioned	2019-01-25T14:23:15Z
dc.date.available	2019-01-25T14:23:15Z
dc.date.issued	2017
dc.identifier.citation	Ballester-Bolinches, Adolfo Esteban Romero, Ramón Lu, Jiakuan 2017 On finite groups with many supersoluble subgroups Archiv der Mathematik 109 1 3 8
dc.identifier.uri	http://hdl.handle.net/10550/68723
dc.description.abstract	The solubility of a finite group with less than 6 non-supersoluble subgroups is confirmed in the paper. Moreover we prove that a finite insoluble group has exactly 6 non-supersoluble subgroups if and only if it is isomorphic to A5 or SL2(5). Furthermore, it is shown that a finite insoluble group has exactly 22 non-nilpotent subgroups if and only if it is isomorphic to A5 or SL2(5). This confirms a conjecture of Zarrin (Arch Math (Basel) 99:201-206, 2012).
dc.language.iso	eng
dc.relation.ispartof	Archiv der Mathematik, 2017, vol. 109, num. 1, p. 3-8
dc.subject	Grups, Teoria de
dc.subject	Matemàtica
dc.title	On finite groups with many supersoluble subgroups
dc.type	journal article	es_ES
dc.date.updated	2019-01-25T14:23:15Z
dc.identifier.doi	10.1007/s00013-017-1041-4
dc.identifier.idgrec	116636
dc.rights.accessRights	open access	es_ES