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In mathematics, more precisely in group theory and hyperbolic geometry, Arithmetic Kleinian groups are a special class of Kleinian groups constructed using orders in quaternion algebras. They are particular instances of arithmetic groups. An arithmetic hyperbolic three-manifold is the quotient of hyperbolic space by an arithmetic Kleinian group.

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  • In mathematics, more precisely in group theory and hyperbolic geometry, Arithmetic Kleinian groups are a special class of Kleinian groups constructed using orders in quaternion algebras. They are particular instances of arithmetic groups. An arithmetic hyperbolic three-manifold is the quotient of hyperbolic space by an arithmetic Kleinian group. (en)
  • 数学において、数論的双曲3次元多様体(英: arithmetic hyperbolic 3-manifold)は、双曲3次元多様体であって、その基本群が の部分群としてであるような多様体である。これらの中で最も小さな体積の多様体は、ウィークス多様体であり、次に小さな体積の多様体はである。 (ja)
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  • Given there are at most finitely many arithmetic hyperbolic 3–manifolds with volume less than . (en)
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  • In mathematics, more precisely in group theory and hyperbolic geometry, Arithmetic Kleinian groups are a special class of Kleinian groups constructed using orders in quaternion algebras. They are particular instances of arithmetic groups. An arithmetic hyperbolic three-manifold is the quotient of hyperbolic space by an arithmetic Kleinian group. (en)
  • 数学において、数論的双曲3次元多様体(英: arithmetic hyperbolic 3-manifold)は、双曲3次元多様体であって、その基本群が の部分群としてであるような多様体である。これらの中で最も小さな体積の多様体は、ウィークス多様体であり、次に小さな体積の多様体はである。 (ja)
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  • Arithmetic hyperbolic 3-manifold (en)
  • 数論的双曲3次元多様体 (ja)
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