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Title: A note on solitary subgroups of finite groups
Autores: Esteban-Romero, R.
Liriano Castro, Orieta
Researchers (UNIBE): Liriano Castro, Orieta 
Affiliations: Facultad de Ciencias Básicas y Tecnológicas 
Research area: Ciencias Físicas
Keywords: Finite group; Fitting class; Formation; Quotient solitary subgroup; Solitary subgroup
Issue Date: 2016
Publisher: Taylor & Francis
Source: Communications in Algebra, 44(7), 2945-2952
Journal: Communications in Algebra 
Volume: 44
Issue: 7
Start page: 2945
End page: 2952
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.
DOI: 10.1080/00927872.2015.1065855
Appears in Collections:Publicaciones de la Facultad de Ciencias Básicas y Tecnológicas
Publicaciones indexadas en Scopus / Web of Science

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