### Abstract

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

Lingua originale | English |
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pagine (da-a) | 79-85 |

Numero di pagine | 7 |

Rivista | Algebra and Discrete Mathematics |

Volume | 9 |

Stato di pubblicazione | Published - 2010 |