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arXiv 1603.04592math.GT
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关于二面角为$\fracπ{m}$(对于$m=2,3,4,5,6$)形式的余有限三维双曲Coxeter群的增长率

On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\fracπ{m}$ for $m=2,3,4,5,6$

Tomoshige Yukita

摘要:

研究了二面角为$\fracπ{m}$ for $m=2,3,4,5,6$的上有限三维双曲Coxeter群的增长率的算术性质,证明了增长率总是Perron数.

英文摘要:

We study arithmetic properties of the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\fracπ{m}$ for $m=2,3,4,5,6$ and show that the growth rates are always Perron numbers.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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