曲率分布和双曲性

Pub Date : 2023-01-17 DOI:10.1515/jgth-2022-0106

C. Chalk, M. Edjvet

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引用次数: 0

摘要

摘要本文描述了一种基于van Kampen图上曲率分布技术的证明有限表示群双曲型的方法。我们应用我们的方法，证明了广义Fibonacci群F(r,n) F(r,n)是双曲的，当r≥3r \geq 3和n≥6 (r + 1n \geq 6r+1)，并确定了哪些群F(3,n)是双曲的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Curvature distribution and hyperbolicity

Abstract We describe a method, based on curvature distribution techniques on van Kampen diagrams, for proving finitely presented groups hyperbolic. We apply our method and show that the generalised Fibonacci group F ⁢ ( r , n ) F(r,n) is hyperbolic when r ≥ 3 r\geq 3 and n ≥ 6 ⁢ r + 1 n\geq 6r+1 and determine which of the groups F ⁢ ( 3 , n ) F(3,n) are hyperbolic.

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