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Thursday, January 30, 2014

**Abstract:** A generalized Baumslag-Solitar group is the fundamental group of a graph of groups with infinite cyclic edge and vertex groups. Such groups are of algebraic, combinatorial and topological interest. A survey will be given of recent work on GBS-groups, including computation of the center and maximal cyclic normal subgroup of GBS-groups and also the relation with 3-manifold groups.