Let $G$ be a torsion-free group and let $K$ be a field. I have to prove that the group algebra $KG$ is an integral domain if and only if it doesn't contain a nonzero element whose square is equal to 0. Any hints on how to start?
2026-03-25 06:00:23.1774418423
Group algebra is domain iff doesn't contain nonzero element whose square is 0
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