# Sectionally AEP-subgroup

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 **sectionally AEP** if there exists a homomorphism of groups:

such that for any automorphism of , is the restriction to of .