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Esteban Romero, Ramón; Orieta, Liriano | |||
Aquest document és un/a article, creat/da en: 2016 | |||
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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 | |||
Esteban Romero, Ramón Orieta, Liriano 2016 A note on solitary subgroups of finite groups Communications in Algebra 44 7 2945 2952 |
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