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 $m=2,3,4,5,6$
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.
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