Abstract
AbstractIn this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups (2, 4, 5) and (2, 5, 5) are not systolic. Along the way we prove some results about subsets of systolic complexes stable under involutions.
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics,Theoretical Computer Science
Reference8 articles.
1. Chepoi, V., Osajda, D.: Dismantlability of weakly systolic complexes and applications. Trans. Am. Math. Soc. 367(2), 1247–1272 (2015)
2. Elsner, T.: Flats and the flat torus theorem in systolic spaces. Geom. Topol. 13(2), 661–698 (2009)
3. Elsner, T.: Isometries of systolic spaces. Fund. Math. 204(1), 39–55 (2009)
4. Haglund, F.: Complexes simpliciaux hyperboliques de grande dimension. Prepublication Orsay, vol. 71 (2003)
5. Januszkiewicz, T., ŚwiatkowskiŚwiatkowski, J.: Simplicial nonpositive curvature. Publ. Math. Inst. Hautes Études Sci. 104, 1–85 (2006)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Weak Modularity and A˜n Coxeter Groups;Michigan Mathematical Journal;2023-01-01