Centralizer-large subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
This article is about a maximality notion among subgroups, related to abelianness or small class, in a group of prime power order.
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Suppose P is a group of prime power order. A subgroup A of P is termed a centralizer-large subgroup if |A||C_P(A)| \ge |B||C_P(B)| for all subgroups P of B.

Relation with other properties

Stronger properties

Weaker properties