WNSCC-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]

Definition

Symbol-free definition

A subgroup of a group is termed a WNSCC-subgroup, or a weak normal subset-conjugacy-closed subgroup, if it is weak normal subset-conjugacy-determined in itself, relative to the whole group.

Definition with symbols

A subgroup H of a group G is termed a WNSCC-subgroup or weak normal subset-conjugacy-closed subgroup in G if it satisfies the following condition: For any two normal subsets A,B of H such that there exists g \in G with gAg^{-1} = B, we have A = B.

Relation with other properties

Stronger properties

Weaker properties