Math 2.0

Concept

Arithmetic hyperbolic 3-manifold

Summary

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 ℍ3\mathbb H^3 by an arithmetic Kleinian group.

Further reading

  1. Wikipedia, page 15239331, revision 1351989487, Arithmetic hyperbolic 3-manifold. adopted
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TagFJB1WF2E6K
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Aliasesarithmetic-kleinian-group
Kindconcept
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Changed4 November 2026

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