ダウンロード数: 55
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B66-07.pdf | 4.91 MB | Adobe PDF | 見る/開く |
| タイトル: | The geodesic growth series for pure Artin groups of dihedral type (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces) |
| 著者: | Fujii, Michihiko Satoh, Takao |
| 著者名の別形: | 藤井, 道彦 |
| キーワード: | 20F36 20F05 20F10 68R15 Artin group of dihedral type pure braid group geodesic growth series growth rate Pisot-Vijayaraghavan number automaton |
| 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: | 133 |
| 終了ページ: | 146 |
| 抄録: | We consider the pure Artin group of dihedral type, which is the kernel of the natural projection from the Artin group of dihedral type I2(k) to the associated Coxeter group. We present a rational function expression for the geodesic growth series of the pure Artin group of dihedral type with respect to a natural generating set, and we explicitly determine the denominator of this rational function expression. Moreover, we show that the growth rate of the series is a Pisot-Vijayaraghavan number. |
| 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/2433/243695 |
| 出現コレクション: | B66 Geometry and Analysis of Discrete Groups and Hyperbolic Spaces |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。