Conjugate-dense sub-APS

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: conjugate-dense subgroup
View other analogues of conjugate-dense 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 conjugate-dense if for every $n$, $H_{n}$ is conjugate-dense as a subgroup of $G_{n}$, i.e. for every $n$, every element of $G_{n}$ is conjugate (in $G_{n}$) to some element of $H_{n}$.