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Groupprops β

Conjugate-join-closed subgroup property

Definition

Symbol-free definition

A subgroup property p is termed conjugate-join-closed if the join of a nonempty collection of conjugate subgroups satisfying p, also satisfies p. Note that any two subgroups in the collection must be conjugate; however, the collection need not include all members of that conjugacy class of subgroups.

Relation with other metaproperties