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 |
| 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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Karrer et al._The triangle groups_2020.pdf | Zweitveröffentlichung | 891.45 kB | Adobe PDF |  View/Open |