Algebraic K-theory of hyperbolic 3-simplex reflection groups

Autor:	Lafont, J. -F., Ortiz, I. J.
Rok vydání:	2007
Předmět:	Mathematics - K-Theory and Homology Mathematics - Geometric Topology
Zdroj:	Comment. Math. Helv. 84 (2009), pgs. 297-337
Druh dokumentu:	Working Paper
Popis:	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. Comment: 33 pages, 2 figures, 7 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0705.0844 Zobrazit plný text záznamu View this record from Arxiv