On the relative and bi-relative K-theory of rings of finite
characteristic
We prove that the relative K-groups associated with a
nilpotent extension of Z/pNZ-algebras and the
bi-relative K-groups associated with a Milnor square of
Z/pNZ-algebras are p-primary torsion groups
of bounded exponent. We also show that the cyclotomic trace map extends from
Quillen K-theory to Bass completed non-connective
K-theory.
Lars Hesselholt
<larsh@math.nagoya-u.ac.jp>