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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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Torsion-freeness of two groups with 2 generators and 3 relators and Kaplansky Zero Divisor C...
Let $G_1$ and $G_2$ be the groups with the following presentations:
$$G_1=\langle a,b \;|\; (ab)^2=a^{-1}ba^{-1}, (a^{-1}ba^{-1})^2=b^{-2}a, (ba^{-1})^2=a^{-2}b^2 \rangle,$$
$$G_2=\langle a,b \;|\; …