Anti-$PC$-groups and Anti-$CC$-groups

    Risultato della ricerca: Articlepeer review

    Abstract

    A group $G$ has Chernikov classes of conjugate subgroups if the quotient group $G/core_G(N_G(H))$ is a Chernikov group for each subgroup $H$ of $G$. An anti-$CC$-group $G$ is a group in which each nonfinitely generated subgroup $K$ has the quotient group $G/core_G(N_G(K))$ which is a Chernikov group. Analogously, a group $G$ has polycyclic-by-finite classes of conjugate subgroups if the quotient group $G/core_G(N_G(H))$ is a polycyclic-by-finite group for each subgroup $H$ of $G$. An anti-$PC$-group $G$ is a group in which each nonfinitely generated subgroup K has the quotient group $G/core_G(N_G(K))$ which is apolycyclic-by-finite group. Anti-$CC$-groups and anti-$PC$-groups are the subject of thepresent article.
    Lingua originaleEnglish
    Numero di pagine11
    RivistaInternational Journal of Mathematics and Mathematical Sciences
    Volume2007
    Stato di pubblicazionePublished - 2007

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