Aspects of the geometry of mapping class groups.
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Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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J. Aramayona (2006)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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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.
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