The Markov spectra for Fuchsian groups

The Markov spectra for Fuchsian groups
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Fuchsian 群的马尔可夫谱

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
L. Vulakh
L. Vulakh
中科院分区:
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文献类型:
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作者:
L. Vulakh

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.本文应用双曲平面的Klein模型D2,并以D2中的测地线在射影平面上的极点为界,给出了一种确定Fuchsian群的Markov谱中的nite二叉树的方法.该方法被应用于模群和其它Fuchsian群可等价的极大群。
. Applying the Klein model D 2 of the hyperbolic plane and identi-fying the geodesics in D 2 with their poles in the projective plane, the author develops a method of determining in(cid:12)nite binary trees in the Markov spectrum for a Fuchsian group. The method is applied to a maximal group commensurable with the modular group and other Fuchsian groups.