### On the K-theory of truncated polynomial algebras over the integers

We show that K_{2i}(**Z**[x]/(x^{m}),(x)) is finite
of order (mi)!(i!)^{m-2} and that
K_{2i+1}(**Z**[x]/(x^{m}),(x)) is free abelian of
rank m-1. This is accomplished by showing that the equivariant
homotopy groups TR^{n}_{q-&lambda}(**Z**;p) of the
topological Hochschild **T**-spectrum are free abelian, if q is
even, and finite, if q is odd, and by determining their ranks and
orders, respectively.

Lars Hesselholt
<larsh@math.nagoya-u.ac.jp>