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Subgroups of direct products of surface groups

By Martin Bridson

Appears in collection : Geometry in non-positive curvature and Kähler groups

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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