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math.GR2004★ 1 cited
The Tits alternative for CAT(0) cubical complexes
Michah Sageev, Daniel T. Wise
We prove a Tits alternative theorem for groups acting on CAT(0) cubical complexes. Namely, suppose that is a group for which there is a bound on the orders of its finite subgro…
math.GR2003
A flat plane that is not the limit of periodic flat planes
Daniel T. Wise
We construct a compact nonpositively curved squared 2-complex whose universal cover contains a flat plane that is not the limit of periodic flat planes.
math.GR2002★ 3 cited
Coherence, local quasiconvexity, and the perimeter of 2-complexes
Jonathan P. McCammond, Daniel T. Wise
A group is coherent if all its finitely generated subgroups are finitely presented. In this article we provide a criterion for positively determining the coherence of a group. This…