# Difference between revisions of "Order-dominated subgroup"

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

## 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 $gHg^{-1} \le K$.