Lower algebraic -theory of hyperbolic 3-simplex reflection groups
Jean-François Lafont
S.U.N.Y. Binghamton, USAIvonne J. Ortiz
Miami University, Oxford, United States
![Lower algebraic $K$-theory of hyperbolic 3-simplex reflection groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
Abstract
A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in , with fundamental domain a geodesic simplex in (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 -theory of the integral group ring of all the hyperbolic 3-simplex reflection groups.
Cite this article
Jean-François Lafont, Ivonne J. Ortiz, Lower algebraic -theory of hyperbolic 3-simplex reflection groups. Comment. Math. Helv. 84 (2009), no. 2, pp. 297–337
DOI 10.4171/CMH/163