Weakly cocentral 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]


BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

Definition

Symbol-free definition

A subgroup of a group is termed weakly cocentral if its product with the center of the group contains its normalizer.

Definition with symbols

A subgroup H of a group G is termed weakly cocentral if N_G(H) \le HZ(G).

Relation with other properties

Stronger properties

Weaker properties