Commentarii Mathematici Helvetici


Full-Text PDF (138 KB) | Metadata | Table of Contents | CMH summary
Volume 84, Issue 2, 2009, pp. 339–349
DOI: 10.4171/CMH/164

Published online: 2009-06-30

NK0 and NK1 of the groups C4 and D4
Addendum to “Lower algebraic K-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz

Charles A. Weibel[1]

(1) Rutgers University, Piscataway, United States

In this addendum to [LO] we explicitly compute the Bass Nil-groups NKi(ℤ[C4) for i = 0, 1 and NK0(ℤ[D4). We also show that NK1(ℤ[D4) is not trivial. Here C4 denotes the cyclic group of order 4 and D4 is the dihedral group of order 8.

Keywords: Lower algebraic K-theory, hyperbolic reflection group, Bass Nil-groups

Weibel Charles: NK0 and NK1 of the groups C4 and D4
Addendum to “Lower algebraic K-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz. Comment. Math. Helv. 84 (2009), 339-349. doi: 10.4171/CMH/164