曲率分布和双曲性

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory 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。

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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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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory