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A note on solitary subgroups of finite groups

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dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Orieta, Liriano
dc.date.accessioned	2023-11-02T14:47:04Z
dc.date.available	2023-11-02T14:47:04Z
dc.date.issued	2016
dc.identifier.uri	https://hdl.handle.net/10550/90943
dc.description.abstract	We say that a subgroup $H$ of a finite group $G$ is solitary (respectively, normal solitary) when it is a subgroup (respectively, normal subgroup) of $G$ such that no other subgroup (respectively, normal subgroup) of $G$ is isomorphic to $H$. A normal subgroup $N$ of a group $G$ is said to be quotient solitary when no other normal subgroup $K$ of $G$ gives a quotient isomorphic to $G/N$. We show some new results about lattice properties of these subgroups and their relation with classes of groups and present examples showing a negative answer to some questions about these subgroups
dc.language.iso	eng
dc.relation.ispartof	Communications in Algebra, 2016, vol. 44, num. 7, p. 2945-2952
dc.source	Esteban Romero, Ramón Orieta, Liriano 2016 A note on solitary subgroups of finite groups Communications in Algebra 44 7 2945 2952
dc.subject	Matemàtica
dc.title	A note on solitary subgroups of finite groups
dc.type	journal article
dc.date.updated	2023-11-02T14:47:04Z
dc.identifier.doi	10.1080/00927872.2015.1065855
dc.identifier.idgrec	104378
dc.rights.accessRights	open access