A cubical flat torus theorem

Daniel Wise


Date(s) : 14/12/2015   iCal
14 h 00 min - 15 h 00 min

I will describe a “cubical flat torus theorem” for a group G acting properly and cocompactly on a CAT(0) cube complex.

This states that every “highest” free abelian subgroup of G acts properly and cocompactly on a convex subcomplex that is quasi-isometric to a Euclidean space.

I will describe some simple consequences, as well as the original motivation which was to prove the “bounded packing property” for cyclic subgroups of G.

This is joint work with Daniel Woodhouse.


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