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Sylow normalizer

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



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


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