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The Triangle Groups (2, 4, 5) and (2, 5, 5) are not Systolic
Graphs and Combinatorics ( IF 0.6 ) Pub Date : 2020-08-09 , DOI: 10.1007/s00373-020-02209-1 Annette Karrer , Petra Schwer , Koen Struyve
中文翻译:
三角形组(2、4、5)和(2、5、5)不是收缩期
更新日期:2020-08-10
Graphs and Combinatorics ( IF 0.6 ) Pub Date : 2020-08-09 , DOI: 10.1007/s00373-020-02209-1 Annette Karrer , Petra Schwer , Koen Struyve
In 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.
中文翻译:
三角形组(2、4、5)和(2、5、5)不是收缩期
在本文中,我们通过显示三角形组(2,4,5)和(2,5,5)不是收缩期的,提供了双曲但非收缩期组的新示例。一路上,我们证明了对合过程中稳定的收缩期复合体子集的一些结果。