On 3-dimensional hyperbolic Coxeter pyramids (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)

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説明

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.

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詳細情報 詳細情報について

  • CRID
    1050564288413978240
  • NII論文ID
    120006715425
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/243700
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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