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arXiv · 0705.0844

Algebraic K-theory of hyperbolic 3-simplex reflection groups

J. -F. Lafont·I. J. Ortiz
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Abstract

A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in the isometry group of hyperbolic 3-space, with fundamental domain a geodesic simplex (possibly with some ideal vertices). The classification of these groups is known, and there are exactly 9 cocompact examples, and 23 non-cocompact examples. We provide a complete computation of the lower algebraic K-theory of the integral group ring of all the hyperbolic 3-simplex reflection groups.

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J. -F. Lafont, I. J. Ortiz. 2007-05-07. Algebraic K-theory of hyperbolic 3-simplex reflection groups. https://arxiv.org/abs/0705.0844

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