Mathematics – Rings and Algebras
Scientific paper
2011-07-29
Mathematics
Rings and Algebras
22 pages
Scientific paper
We investigate the vanishing of the group SK1(A(G)) for the Iwasawa algebra
A(G) of a pro-p p-adic Lie group G (with p different from 2). We reduce this
vanishing to a linear algebra problem for Lie algebras over arbitrary rings,
which we solve for Chevalley orders in split reductive Lie algebras.
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