A generalization of groups with many almost normal subgroups

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    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.
    Original languageEnglish
    Pages (from-to)79-85
    Number of pages7
    JournalAlgebra and Discrete Mathematics
    Volume9
    Publication statusPublished - 2010

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