JournalscmhVol. 84, No. 2pp. 339–349

<var>NK</var><sub>0</sub> and <var>NK</var><sub>1</sub> of the groups <var>C</var><sub>4</sub> and <var>D</var><sub>4</sub> <br>Addendum to “Lower algebraic <var>K</var>-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz

  • Charles A. Weibel

    Rutgers University, Piscataway, United States
<var>NK</var><sub>0</sub> and <var>NK</var><sub>1</sub> of the groups <var>C</var><sub>4</sub> and <var>D</var><sub>4</sub> <br>Addendum to “Lower algebraic <var>K</var>-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz cover
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Abstract

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.

Cite this article

Charles A. Weibel, <var>NK</var><sub>0</sub> and <var>NK</var><sub>1</sub> of the groups <var>C</var><sub>4</sub> and <var>D</var><sub>4</sub> <br>Addendum to “Lower algebraic <var>K</var>-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz. Comment. Math. Helv. 84 (2009), no. 2, pp. 339–349

DOI 10.4171/CMH/164