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

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.
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
http://www.m-hikari.com/ijcms-password2007/29-32-2007/index.html
Russo, F. (2007). On $MC$-hypercentral triply factorized groups. INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES, 2(29), 1433-1440.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/55681
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