The zero divisor question for supersolvable groups

DOI10.1017/S000497270004288XzbMath0256.16005OpenAlexW2091665377MaRDI QIDQ5670749

Edward W. Formanek

Publication date: 1973

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270004288x

Mathematics Subject Classification ID

Group rings (16S34) Chains and lattices of subgroups, subnormal subgroups (20E15) Integral domains (associative rings and algebras) (16U10)

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Unnamed Item ⋮ Quotients of Passman fours group and non-units of their group algebras ⋮ The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group ⋮ Complex group rings and group \(\mathrm{C}^*\)-algebras of group extensions ⋮ Units of group algebras of the fours group ⋮ 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 ⋮ Associative rings ⋮ Advances in group rings ⋮ Anneaux de groupe hereditaires et semi-hereditaires ⋮ Certain algebraic elements in group rings ⋮ Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups ⋮ \(K_0\) and noetherian group rings ⋮ Ideals in group rings of free products with amalgamations and of hnn extensions ⋮ Nonunits of group algebras over the fours group

Cites Work

• On the free product of associative rings. III
• Rings of Fractions
• A Note on Zero Divisors in Group-Rings
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)

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