Zero divisors of support size 3 in group algebras and trinomials divided by irreducible polynomials over GF(2)

DOI10.4171/RSMUP/78zbMath1476.16022arXiv1905.09494OpenAlexW3158516057MaRDI QIDQ2039377

Zahra Taheri, Alireza Abdollahi

Publication date: 2 July 2021

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09494

zbMATH Keywords

group algebratrinomialzero divisorresidually finite groupsupport size

Mathematics Subject Classification ID

Group rings (16S34) Polynomials in general fields (irreducibility, etc.) (12E05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

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• Finitely Presented Groups Related to Kaplansky’s Direct Finiteness Conjecture
• On zero divisors with small support in group rings of torsion-free groups
• Irreducible Polynomials Which Divide Trinomials Over GF$\,(2)$
• 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
• "Problems in the Theory of Rings" Revisited

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