In a Commentarii Mathematici Helvetici paper by Benno Eckman and Heinz Müller in 1980 (volume 50, pages 510-520) proved that poincaré Duality Groups of dimension 2 with positive first Betti number are surface groups.

Is there any development into proving that certain groups of (homologic) or geometric dimension 2 are surface groups?

In a Commentarii Mathematici Helvetici paper by Benno Eckman and Heinz Müller in 1980 (volume 50, pages 510-520) proved that poincaré Duality Groups of dimension 2 with positive first Betti number are surface groups.

Is there any development into proving that certain groups of (homological) or geometric dimension 2 are surface groups?