Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/68377
Title: The triangle groups (2, 4, 5) and (2, 5, 5) are not systolic
Author(s): Karrer, Annette
Schwer, Petra
Struyve, Koen
Issue Date: 2020
Type: Article
Language: English
URN: urn:nbn:de:gbv:ma9:1-1981185920-703289
Subjects: Systolic complexes
Coxeter groups
Fixed point theorem
Abstract: 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.
URI: https://opendata.uni-halle.de//handle/1981185920/70328
http://dx.doi.org/10.25673/68377
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Sponsor/Funder: Projekt DEAL 2020
Journal Title: Graphs and combinatorics
Publisher: Springer-Verl. Tokyo
Publisher Place: Tokyo
Volume: 36
Issue: 6
Original Publication: 10.1007/s00373-020-02209-1
Page Start: 1741
Page End: 1782
Appears in Collections:Fakultät für Mathematik (OA)

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