Let A be a regular noetherian F_{p}-algebra. The
relative *K*-groups
*K*_{q}(A[x]/(x^{m}),(x)) and the
*Nil*-groups *Nil*_{q}(A[x]/(x^{m}))
were evaluated by the author and Ib Madsen in terms of the big de Rham-Witt
groups *W*_{r}&Omega_{A}^{q} of the
ring A. In this paper, we evaluate the maps of relative
*K*-groups and *Nil*-groups induced by the canonical
projection f : A[x]/(x^{m}) &arr A[x]/(x^{n}). The
result depends strongly on the prime p. It generalizes earlier work by
Stienstra on the groups in degree 2 and 3.

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Lars Hesselholt <larsh@math.mit.edu>