Parabolic 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
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Template:Lie analogue

Definition

Definition with symbols

Given a finite group G and a prime p, a subgroup H of G is said to be p-parabolic if it satisfies the following condition: let P = O_p(H), that is, the Sylow core (largest normal p-subgroup) of H. Then, H = N_G(P).

Relation with other properties

Stronger properties