A remark on group rings of periodic groups

Abstract

A positive solution of the problem of the existence of nontrivial pairs of zero-divisors in group rings of free Burnside groups of sufficiently large odd periods $n>10^{10}$ obtained previously by S. V. Ivanov and R. Mikhailov extended to all odd periods $ngeq 665$‎.

Keywords

• group ring
• free Burnside group
• zero divisor