Eventually simple IAPS

From Apstheory

Template:Simplicity notion

Contents 1 Definition 1.1 Symbol-free definition 2 Relation with other properties 2.1 Stronger properties 2.2 Weaker properties

Definition

Symbol-free definition

An eventually simple IAPS of groups is an IAPS of groups with the property that all but finitely many members are simple.

Relation with other properties

Stronger properties

• Everywhere simple IAPS

Weaker properties

• p-simple IAPS
• i-simple IAPS
• i.o.-simple IAPS