2017年
On 3–dimensional hyperbolic Coxeter pyramids
京都大学数理解析研究所 講究録別冊
- ,
- 巻
- B
- 号
- 66
- 開始ページ
- 213
- 終了ページ
- 230
- 記述言語
- 英語
- 掲載種別
- 研究論文(大学,研究機関等紀要)
After classifying 3-dimensional hyperbolic Coxeter pyramids by means of<br />
elementary plane geometry, we calculate growth functions of corresponding<br />
Coxeter groups by using Steinberg formula and conclude that growth rates of<br />
them are always Perron numbers. We also calculate hyperbolic volumes of them<br />
and compare volumes with their growth rates. Finally we consider a geometric<br />
ordering of Coxeter pyramids comparable with their growth rates.
elementary plane geometry, we calculate growth functions of corresponding<br />
Coxeter groups by using Steinberg formula and conclude that growth rates of<br />
them are always Perron numbers. We also calculate hyperbolic volumes of them<br />
and compare volumes with their growth rates. Finally we consider a geometric<br />
ordering of Coxeter pyramids comparable with their growth rates.
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