Automaticity of non-positively curved $k$-fold triangle groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915729193828352 |
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| author | Isaković, Ana |
| author_facet | Isaković, Ana |
| contents | We show that non-positively curved $k$-fold triangle groups have finitely many cone types, and hence a regular language of all geodesics. Further, we prove that the language of lexicographically first geodesics is both regular and satisfies the fellow traveller property, giving an automatic structure for this family of groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automaticity of non-positively curved $k$-fold triangle groups Isaković, Ana Group Theory Geometric Topology We show that non-positively curved $k$-fold triangle groups have finitely many cone types, and hence a regular language of all geodesics. Further, we prove that the language of lexicographically first geodesics is both regular and satisfies the fellow traveller property, giving an automatic structure for this family of groups. |
| title | Automaticity of non-positively curved $k$-fold triangle groups |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2511.05141 |