Zero divisor and unit elements with support of size 4 in group algebras of torsion free groups

Alireza Abdollahi, Fatemeh Jafari

Kaplansky Zero Divisor Conjecture states that if $G$ is a torsion free group and $\mathbb{F}$ is a field, then the group ring $\mathbb{F}[G]$ contains no zero divisor and Kaplan…