Weak normal subset-conjugacy-determined subgroup
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This article describes a property that can be evaluated for a triple of a group, a subgroup of the group, and a subgroup of that subgroup.
View other such properties
Suppose . We say that if weak normal subset-conjugacy-determined in relative to if, for any normal subsets such that there exists with , there exists such that .
The modifier weak here denotes that and may not have the same element-wise action on .
Relation with other properties
Related subgroup properties
- WNSCDIN-subgroup: A subgroup that is weak normal subset-conjugacy-determined inside its normalizer.