A group $G$ is called triply factorized in the product of two subgroups $A$, $B$ and a normal subgroup $K$ of $G$, if $G = AB = AK = BK$. This decomposition of $G$ has been studied by several authors, investigating on those properties which can be carried from $A, B$ and $K$ to $G$. It is known that if $A, B$ and $K$ are $FC$-groups and $K$ has restrictions on the rank, then $G$ is again an $FC$-group. The present paper extends this result to wider classes of $FC$-groups.
Russo, F. (2007). On $MC$-hypercentral triply factorized groups. INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES, 2(29), 1433-1440.
On $MC$-hypercentral triply factorized groups
RUSSO, Francesco
2007-01-01
Abstract
A group $G$ is called triply factorized in the product of two subgroups $A$, $B$ and a normal subgroup $K$ of $G$, if $G = AB = AK = BK$. This decomposition of $G$ has been studied by several authors, investigating on those properties which can be carried from $A, B$ and $K$ to $G$. It is known that if $A, B$ and $K$ are $FC$-groups and $K$ has restrictions on the rank, then $G$ is again an $FC$-group. The present paper extends this result to wider classes of $FC$-groups.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
