Zero divisors with small supports in group algebras of torsion-free groups over a field

Sourav Koner, Rabindranath Chakraborty

For any field $\mathbb{F}$ and all torison-free group $\mathbb{G}$, we prove that if $ab=0$ for some non-zero $a,b\in \mathbb{F}[\mathbb{G}]$ such that $|supp(a)|$ $=3$ and $a…