Groups, Geometry, and Dynamics
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Published online: 2014-05-13
Geometric two-dimensional duality groupsRisto Atanasov (1) Western Carolina University, Cullowhee, USA
We consider a finite, aspherical, 2-dimensional Cohen–Macaulay simplicial complex $\Delta$ and we find additional conditions that imply the universal cover $\tilde\Delta$ has one end. In order to find these additional conditions we use a form of “Zeeman Duality”. The context is an attempt to better understand duality groups.
Keywords: Cohen–Macaulay complex, duality group
Atanasov Risto: Geometric two-dimensional duality groups. Groups Geom. Dyn. 8 (2014), 69-95. doi: 10.4171/GGD/217