Abstract
We investigate the vanishing of the group \(SK_1(\Lambda (G))\) for the Iwasawa algebra \(\Lambda (G)\) of a pro-\(p\) \(p\)-adic Lie group \(G\) (with \(p \ne 2\)). 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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Acknowledgments
P. Schneider and O. Venjakob are supported by the DFG. O. Venjakob is also supported by the ERC starting grant IWASAWA.