Graphical C(3)-T(6) implies CAT(0)
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915731084410880 |
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| author | Gui, Huaitao |
| author_facet | Gui, Huaitao |
| contents | Graphical small cancellation extends the classical small cancellation theory and provides a powerful method for constructing groups with interesting features. In the classical setting, C(3)-T(6) small cancellation complexes are known to admit locally CAT(0) metrics. In this paper, we construct locally CAT(0) metrics for graphical C(3)-T(6) complexes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09751 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Graphical C(3)-T(6) implies CAT(0) Gui, Huaitao Group Theory Graphical small cancellation extends the classical small cancellation theory and provides a powerful method for constructing groups with interesting features. In the classical setting, C(3)-T(6) small cancellation complexes are known to admit locally CAT(0) metrics. In this paper, we construct locally CAT(0) metrics for graphical C(3)-T(6) complexes. |
| title | Graphical C(3)-T(6) implies CAT(0) |
| topic | Group Theory |
| url | https://arxiv.org/abs/2601.09751 |