On zero divisors with small support in group rings of torsion-free groups

DOI10.1515/jgt-2013-0017zbMath1292.20007arXiv1202.6645OpenAlexW2963474976MaRDI QIDQ2873307

Pascal Schweitzer

Publication date: 23 January 2014

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6645

zbMATH Keywords

torsion-free groupsgroup ringsKaplansky conjecturezero divisor conjecture

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Computational aspects of associative rings (general theory) (16Z05)

Related Items

Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ Zero divisors and units with small supports in group algebras of torsion-free groups ⋮ Zero divisors of support size 3 in group algebras and trinomials divided by irreducible polynomials over GF(2)

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