Conjugacy-closed sub-APS

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This article gives a property that can be evaluated for a sub-APS in an APS of groups

ANALOGY: This is an analogue in APS of a property encountered in group. Specifically, it is a sub-APS property analogous to the subgroup property: conjugacy-closed subgroup
View other analogues of conjugacy-closed subgroup | View other analogues in APSs of subgroup properties (OR, View as a tabulated list)

Definition

A sub-APS H of an APS of groups (G,\Phi) is termed conjugacy-closed if for every n, H_n is a conjugacy-closed subgroup of G_n: in other words, whenever two elements of H_n are conjugate in G_n, they are also conjugate in H_n.