Geodesic
On Zero-divisors in Group Rings of Groups with Torsion
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 326-334

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DOI

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.
DOI : 10.4153/CMB-2012-036-6
Mots-clés : 20C07, 20E06, 20F05, 20F50, Burnside groups, free products of groups, group rings, zero-divisors 
Ivanov, S. V.; Mikhailov, Roman. On Zero-divisors in Group Rings of Groups with Torsion. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 326-334. doi: 10.4153/CMB-2012-036-6
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     author = {Ivanov, S. V. and Mikhailov, Roman},
     title = {On {Zero-divisors} in {Group} {Rings} of {Groups} with {Torsion}},
     journal = {Canadian mathematical bulletin},
     pages = {326--334},
     year = {2014},
     volume = {57},
     number = {2},
     doi = {10.4153/CMB-2012-036-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-036-6/}
}
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