Sylow normalizer: Difference between revisions
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{{subgroup property} | {{prime-parametrized subgroup property}} | ||
{{Lie analogue|[[Borel subgroup]]}} | {{Lie analogue|[[Borel subgroup]]}} | ||
Latest revision as of 00:25, 8 May 2008
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
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.