A model for the universal space for proper actions of a hyperbolic group.

Meintrup, David; Schick, Thomas

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Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

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Hyperbolic groups with low-dimensional boundary

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Bounded geometry in relatively hyperbolic groups.

Dahmani, François, Yaman, Aslı (2005)

The New York Journal of Mathematics [electronic only]

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Systolic groups acting on complexes with no flats are word-hyperbolic

Piotr Przytycki (2007)

Fundamenta Mathematicae

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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.