Finitely presented simple group
Definition
A finitely presented simple group is a group that is both a finitely presented group and a simple group.
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
This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: finitely presented group and simple group
View other group property conjunctions OR view all group properties
Relation with other properties
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| finitely generated simple group | |FULL LIST, MORE INFO | |||
| group with solvable word problem | |FULL LIST, MORE INFO |