Eventually simple IAPS

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ANALOGY: This is an analogue in IAPSs of the group property:
View other analogues of simplicity | View other analogues in IAPSs of group properties

This article defines a property that can be evaluated for an IAPS of groups

Definition

Let $(G,\mathrm{\Phi })$ be an IAPS of groups. It is said to be eventually simple if there exists a $N$ such that for all $n\ge N$, $G_n$ is a simple group.

Relation with other properties

Weaker properties

• p-simple IAPS
• i-simple IAPS