# Sylow normalizer

From Groupprops

Template:Lie analogueThe article defines a subgroup property, where the definition may be in terms of a particular prime number that serves as parameter

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## Contents

## Definition

### Symbol-free definition

A subgroup of a finite group is said to be a **Sylow normalizer** if it occurs as the normalizer of a Sylow subgroup.

## Relation with other properties

### Weaker properties

## Facts

Since all the -Sylow subgroups are conjugate, all the normalizers of -Sylow subgroups are conjugate.