$G$ is a multiplicative group, $K$ is a field. Let $\gamma$ and$\tilde{\gamma}$ be two twistings of $K^t[G]$ related by the equation $\tilde{\gamma}(x,y)=\delta(x)\delta(y)\delta(xy)^{-1}\gamma(x,y)$. Is function $\delta:G\rightarrow:K^0$ unique?
2026-03-26 07:50:12.1774511412
twisted group ring: uniqueness of representation
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No. You can multiply $\delta$ pointwise by a homomorphism $G \to K^{\times}$.