A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $G$. A classic result of B. H. Neumann informs us that $|G : Z(G)|$ is finite if and only if each $H$ is almost normal in $G$. Starting from this result, we investigate the structure of a group in which each non- finitely generated subgroup satisfies a property, which is weaker to be almost normal.

Russo, F. (2010). A generalization of groups with many almost normal subgroups. ALGEBRA AND DISCRETE MATHEMATICS, 9, 79-85.

A generalization of groups with many almost normal subgroups

RUSSO, Francesco
2010-01-01

Abstract

A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $G$. A classic result of B. H. Neumann informs us that $|G : Z(G)|$ is finite if and only if each $H$ is almost normal in $G$. Starting from this result, we investigate the structure of a group in which each non- finitely generated subgroup satisfies a property, which is weaker to be almost normal.
2010
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
Russo, F. (2010). A generalization of groups with many almost normal subgroups. ALGEBRA AND DISCRETE MATHEMATICS, 9, 79-85.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/55671
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