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ファイル | 記述 | サイズ | フォーマット | |
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B66-03.pdf | 7.09 MB | Adobe PDF | 見る/開く |
タイトル: | Growth and cogrowth tightness of Kleinian and hyperbolic groups (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces) |
著者: | Matsuzaki, Katsuhiko |
著者名の別形: | 松崎, 克彦 |
キーワード: | 37C35 30F40 53C23 20F65 57S30 37D40 growth tight Kleinian group critical exponent volume entropy Gromov hyperbolic space quasi-convex cocompact |
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: | 21 |
終了ページ: | 36 |
抄録: | Let G be a non-elementary discrete isometry group of the hyperbolic space or more generally a proper geodesic Gromov hyperbolic space X. We say that G is growth tight if for any non-trivial normal subgroup H the critical exponent k(H\G) of the quotient group is strictly smaller than k(G). Moreover, G is cogrowth tight if the critical exponent δ(H) of any such H is strictly greater than δ(G)/2. We review recent results on these properties of G with the addition of certain new observation. In particular, we see that a non-elementary quasi-convex cocompact discrete isometry group G of X is growth tight. |
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/2433/243691 |
出現コレクション: | B66 Geometry and Analysis of Discrete Groups and Hyperbolic Spaces |

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