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A group ring $R[G]$ is a ring constructed in a natural way from a ring $R$ and a group $G$.

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Unitary unit conjecture for group rings

The famous "unit conjecture" for group rings states that all units of a group ring $K[G]$ are trivial for a field $K$ and a torison-free group $G$. We are far away from solving the conjecture (See e.g …
Joerg Sixt's user avatar