On Zero-divisors in Group Rings of Groups with Torsion
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Published:2014-06-14
Issue:2
Volume:57
Page:326-334
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Ivanov S. V.,Mikhailov Roman
Abstract
AbstractNontrivial 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 ≫ 1 is solved in the affirmative. Nontrivial pairs of zero-divisors are also found in group rings of free products of groups with torsion.
Publisher
Canadian Mathematical Society
Subject
General Mathematics