Growth and cogrowth tightness of Kleinian and hyperbolic groups (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)
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- 松崎, 克彦
- Department of Mathematics, School of Education, Waseda University
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説明
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.
収録刊行物
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- 数理解析研究所講究録別冊
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数理解析研究所講究録別冊 B66 21-36, 2017-06
Research Institute for Mathematical Sciences, Kyoto University
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詳細情報 詳細情報について
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- CRID
- 1050564288413975424
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- NII論文ID
- 120006715416
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- NII書誌ID
- AA12196120
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- ISSN
- 18816193
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- HANDLE
- 2433/243691
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
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