Finitely related group
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
Definition
Symbol-free definition
A group is said to be finitely related if it satisfies the following equivalent conditions:
- It has a presentation with only finitely many relations
- It is the quotient of a free group by the normal closure of a finite subset