Graphical C(3)-T(6) implies CAT(0)

Published 12 Jan 2026 in math.GR | (2601.09751v1)

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.

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Huaitao Gui

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