Detecting negative curvature in groups via local conditions
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- by Paul Shawcroft PDF
- Proc. Amer. Math. Soc. 122 (1994), 1015-1023 Request permission
Abstract:
We characterize negative curvature of groups in terms of properties which can be checked locally in the Cayley graph. We prove the equivalence of these properties with the more familiar thin triangles property. We also present an algorithm which, when given a finite presentation of a group G, will recognize these properties in finite time if G is negatively curved.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 1015-1023
- MSC: Primary 57M07; Secondary 20F10, 20F32, 53C23
- DOI: https://doi.org/10.1090/S0002-9939-1994-1249891-2
- MathSciNet review: 1249891