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Subgroups of direct products of surface groups

By Martin Bridson

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.

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