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arXiv · 1209.1443

On zero-divisors in group rings of groups with torsion

S. V. Ivanov·R. Mikhailov
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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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S. V. Ivanov, R. Mikhailov. 2012-09-07. On zero-divisors in group rings of groups with torsion. https://doi.org/10.4153/cmb-2012-036-6

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