Author

Martin J. Taylor

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Preprint Sep 2026

The Nil K-groups of finite groups

We show that for every finite group $G$ and every integer $n$, the Nil group $\mathrm{NK}_n(\mathbb{Z}[G])$ of the integral group ring of $G$ has finite exponent, and give a bound depending on n and the order $|G|$. This bound is explicit when every prime divisor of $|G|$ is at least $3+n/2$. More generally, our finite...

T. Chinburg, M. Morrow, G. Pappas et al. · 0 citations