published on May 19, 2026
A Selection from Forty Years of Illustrating Mathematical Results
By Robert Corless
Subgroups of direct products of surface groups
Appears in collections : Geometry in non-positive curvature and Kähler groups, ECM 2024 Plenary Speakers
After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finiteness properties and are not of Stallings-Bieri type.
