On the relative and bi-relative K-theory of rings of finite characteristic

Details On the relative and bi-relative K-theory of rings of finite characteristic On the relative and bi-relative K-theory of rings of finite characteristic

2008-10-08

arxiv.org/abs/0810.1337v2

Mathematics

K-Theory and Homology

19 pages

Scientific paper

We prove that the relative K-groups associated with a nilpotent extension of
Z/p^N Z-algebras and the bi-relative K-groups associated with a Milnor square
of Z/p^N Z-algebras are p-primary torsion groups of bounded exponent. We also
show that, in general, the cyclotomic trace map extends from Quillen K-theory
to Bass completed non-connective algebraic K-theory.

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