# Order-dominated subgroup

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
Template:Finite subgroup property

## Definition

A subgroup $H$ of a finite group $G$ is termed order-dominated in $G$ if, given any finite subgroup $K$ of $G$ such that the order of $H$ divides the order of $K$, there exists $g \in G$ such that $gHg^{-1} \le K$.