On zero-divisors in group rings of groups with torsion

S. V. Ivanov, Roman Mikhailov

Research output: Contribution to journalArticlepeer-review

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 ≥ 1 is solved in the affirmative. Nontrivial pairs of zero-divisors are also found in group rings of free products of groups with torsion.

Original languageEnglish (US)
Pages (from-to)326-334
Number of pages9
JournalCanadian Mathematical Bulletin
Volume57
Issue number2
DOIs
StatePublished - Jun 2014

Keywords

  • Burnside groups
  • Free products of groups
  • Group rings
  • Zero-divisors

ASJC Scopus subject areas

  • Mathematics(all)

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