On $MC$-hypercentral triply factorized groups

    Risultato della ricerca: Article

    Abstract

    A group $G$ is called triply factorized in the product of two subgroups$A$, $B$ and a normal subgroup $K$ of $G$, if $G = AB = AK = BK$. Thisdecomposition of $G$ has been studied by several authors, investigatingon those properties which can be carried from $A, B$ and $K$ to $G$. It isknown that if $A, B$ and $K$ are $FC$-groups and $K$ has restrictions onthe rank, then $G$ is again an $FC$-group. The present paper extends thisresult to wider classes of $FC$-groups.
    Lingua originaleEnglish
    pagine (da-a)1433-1440
    Numero di pagine8
    RivistaINTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES
    Volume2
    Stato di pubblicazionePublished - 2007

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