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>