论文标题
斐波那契型和t（5）循环呈现组的双曲线组
Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups
论文作者
论文摘要
基于关于斐波那契类型组双曲线的先前结果，我们几乎对此类中（非元素）双曲线组进行了几乎完整的分类。我们无法确定两组的双曲线状态，即吉尔伯特·霍伊（Gilbert-Howie）组H（9,4），H（9,7）。我们表明，如果H（9,4）不含扭转，那么它不是双曲线。我们考虑t（5）循环呈现的组的类别，并对（非元素）双曲线组进行分类，并表明山雀替代方案。
Building on previous results concerning hyperbolicity of groups of Fibonacci type, we give an almost complete classification of the (non-elementary) hyperbolic groups within this class. We are unable to determine the hyperbolicity status of precisely two groups, namely the Gilbert-Howie groups H(9,4), H(9,7). We show that if H(9,4) is torsion-free then it is not hyperbolic. We consider the class of T(5) cyclically presented groups and classify the (non-elementary) hyperbolic groups and show that the Tits alternative holds.
