A Note on Milnor–Witt K-Theory and a Theorem of Suslin

Abstract

We give a simple presentation of the additive Milnor–Witt K-theory groups of the field F, for n ≥ 2, in terms of the natural small set of generators. When n = 2, this specializes to a theorem of Suslin which essentially says that .

Key Words:

• Group homology
• K-Theory
• Witt rings

2000 Mathematics Subject Classification:

• 19G99
• 20G10

ACKNOWLEDGMENT

The work in this article was partially funded by the Science Foundation Ireland Research Frontiers Programme grant 05/RFP/MAT0022.

Notes

Communicated by C. Pedrini.