Normal sub-APS

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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This term is related to: APS theory
View other terms related to APS theory | View facts related to APS theory
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: normal subgroup
View other analogues of normal subgroup | View other analogues in APSs of subgroup properties (OR, View as a tabulated list)

Definition

Let (G,\Phi) be an APS of groups and H be a sub-APS of G. We say that H is normal in G if the following equivalent conditions hold:

Relation with other properties

Stronger properties