Graphical C(3)-T(6) implies CAT(0)
Group Theory
2026-01-16 v1
Abstract
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.
Cite
@article{arxiv.2601.09751,
title = {Graphical C(3)-T(6) implies CAT(0)},
author = {Huaitao Gui},
journal= {arXiv preprint arXiv:2601.09751},
year = {2026}
}
Comments
13 pages, 6 figures