Local subgroup for a prime

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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

Let p be a prime. A subgroup of a group is said to be a p-local subgroup if it occurs as the normalizer of a p-subgroup.

Definition with symbols

Let p be a prime. A subgroup H of a group G is said to be a p-local subgroup if there exists a p-subgroup Q such that H = N_G(Q).

Relation with other properties

Stronger properties

Weaker properties