On the K-theory of truncated polynomial algebras over the integers
We show that K2i(Z[x]/(xm),(x)) is finite
of order (mi)!(i!)m-2 and that
K2i+1(Z[x]/(xm),(x)) is free abelian of
rank m-1. This is accomplished by showing that the equivariant
homotopy groups TRnq-&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>