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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