On zero-divisors in group rings of groups with torsion

Published 7 Sep 2012 in math.GR | (1209.1443v1)

Abstract: Nontrivial pairs of zero-divisors in group rings are introduced and discussed. A problem on the existence of nontrivial pairs of zero-divisors in group rings of free Burnside groups of odd exponent $n \gg 1$ is solved in the affirmative. Nontrivial pairs of zero-divisors are also found in group rings of free products of groups with torsion.

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