The two-generation conjecture for simple finitely presented groups

A group is simple if it has no nontrivial proper normal subgroups, and finitely presented if it admits a presentation with finitely many generators and finitely many defining relations. The two-generation conjecture. Every simple, finitely presented group is two-generated. This conjecture concerns the generation of simple groups and was introduced in the study of when simple, finitely generated groups are two-generated; the supplied text gives no resolution status.