How would I be able to describe all units of the group ring $\mathbb{Q}(G)$ where $G$ is specifically an infinite cyclic group?
2026-03-26 06:15:26.1774505726
units of group ring $\mathbb{Q}(G)$ when $G$ is infinite and cyclic
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You could realize that this group algebra is isomorphic to $\Bbb Q[x,x^{-1}]$, the Laurent polynomials over $\Bbb Q$.
Since it is just the localization of $\Bbb Q[x]$ at the powers of x, the units are easy to describe.