# Subgroup whose join with any distinct conjugate is the whole group

From Groupprops

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]

## Contents

## Definition

A subgroup of a group is termed a **subgroup whose join with any distinct conjugate is the whole group** if its join with any of its conjugate subgroups other than itself is the whole group.