Geodesic
Systolic groups acting on complexes with no flats are word-hyperbolic
Piotr Przytycki 1
1 Faculty of Mathematics, Informatics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 193 (2007) no. 3, pp. 277-283 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm193-3-4
Keywords: prove group acts properly cocompactly systolic complex whose skeleton there isometrically embedded copy skeleton equilaterally triangulated euclidean plane group word hyperbolic conjectured wise

Piotr Przytycki  1

1 Faculty of Mathematics, Informatics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Piotr Przytycki. Systolic groups acting on complexes with no flats
 are word-hyperbolic. Fundamenta Mathematicae, Tome 193 (2007) no. 3, pp. 277-283. doi: 10.4064/fm193-3-4

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