Systolic groups acting on complexes with no flats are word-hyperbolic
Volume 193 / 2007
Fundamenta Mathematicae 193 (2007), 277-283
MSC: 20F67, 20F65.
DOI: 10.4064/fm193-3-4
Abstract
We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.
