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arXiv · 0810.1337

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

Thomas Geisser·Lars Hesselholt
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Abstract

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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Thomas Geisser, Lars Hesselholt. 2008-10-08. On the relative and bi-relative K-theory of rings of finite characteristic. https://doi.org/10.1090/s0894-0347-2010-00682-0

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