On zero-divisors in group rings of groups with torsion
Group Theory
2019-08-15 v1
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 is solved in the affirmative. Nontrivial pairs of zero-divisors are also found in group rings of free products of groups with torsion.
Keywords
Cite
@article{arxiv.1209.1443,
title = {On zero-divisors in group rings of groups with torsion},
author = {S. V. Ivanov and R. Mikhailov},
journal= {arXiv preprint arXiv:1209.1443},
year = {2019}
}
Comments
8 pages, to appear in Canadian Math. Bull