Sylow normalizer

From Groupprops
Revision as of 00:25, 8 May 2008 by Vipul (talk | contribs) (2 revisions)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
The article defines a subgroup property, where the definition may be in terms of a particular prime number that serves as parameter
View other prime-parametrized subgroup properties | View all subgroup properties
Template:Lie analogue

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