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.
|Numero di pagine||8|
|Rivista||INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES|
|Stato di pubblicazione||Published - 2007|