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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B66-12.pdf | 6.44 MB | Adobe PDF | 見る/開く |
| タイトル: | On 3-dimensional hyperbolic Coxeter pyramids (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces) |
| 著者: | Komori, Yohei Umemoto, Yuriko |
| 著者名の別形: | コモリ, ヨウヘイ ウメモト, ユリコ |
| キーワード: | 20F55 20F65 Coxeter group growth function growth rate Perron number |
| 発行日: | Jun-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B66 |
| 開始ページ: | 213 |
| 終了ページ: | 230 |
| 抄録: | After classifying 3{dimensional hyperbolic Coxeter pyramids by means of elementary plane geometry, we calculate growth functions of corresponding Coxeter groups by using Steinberg formula and conclude that growth rates of them are always Perron numbers. We also calculate hyperbolic volumes of them and compare volumes with their growth rates. Finally we consider a geometric ordering of Coxeter pyramids compatible with their growth rates. |
| 記述: | "Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22～26, 2015. edited by Michihiko Fujii, Nariya Kawazumi and Ken'ichi Ohshika. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243700 |
| 出現コレクション: | B66 Geometry and Analysis of Discrete Groups and Hyperbolic Spaces |
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