On Fuchsian Groups with the Same Set of Axes

On Fuchsian Groups with the Same Set of Axes
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DOI:
10.1112/s002460939800455x
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发表时间:
1998-09
影响因子:
0.9
通讯作者:
D. Long;A. Reid
D. Long;A. Reid
中科院分区:
数学3区
文献类型:
--
作者:
D. Long;A. Reid

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Let Γ be a Fuchsian group. We denote by ax(Γ) the set of axes of hyperbolic elements of Γ. Define Fuchsian groups Γ1 and Γ2 to be isoaxial if ax(Γ1) = ax(Γ2). The main result in this note is to show (see Section 2 for definitions) the following.