Recursively presented group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

A group is said to be recursively presented if it possesses a recursive presentation, viz a presentation where:

  • The number of generators is finite
  • The set of relations is recursively enumerable

Relation with other properties

Stronger properties

Weaker properties