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Homology of O(n) and O1(1,n) made discrete: An application of edgewise subdivision

✍ Scribed by Marcel Bökstedt; Morten Brun; Johan Dupont

Book ID: 104152843
Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 911 KB
Volume: 123
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00081-3

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✦ Synopsis

The group of isometries of hyperbolic n-space contains the orthogonal group O(n) as a subgroup. We prove that this inclusion induces a stable isomorphism of discrete group homology. The unstable version of this result implies in particular that the scissors congruence group ~(S 3) in spherical 3-space is a rational vectorspace.

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