2 problems

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Vanishing of Nil-groups for regular rings containing the rationals
Let $R$ be a regular ring with $\mathbb Q\subseteq R$ , let $G$ be a group, and let $n\in\mathbb Z$ . Write $NK_n(RG)$ for the relevant Nil-group and $KH_n(RG)$ for homotopy $K$ -theo…
Conjectureopenalgebraic-k-theory homotopy-k-theory nil-groupsarXiv posted 2 days ago
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The positive-coordinate formula for iterated Nil-groups
Positive-coordinate Nil-group conjecture.
Conjectureopenalgebraic-k-theory nil-groupsarXiv posted 2 days ago

Vanishing of Nil-groups for regular rings containing the rationals