The zero divisor conjecture for some solvable groups

DOI10.2140/pjm.1980.90.191zbMath0454.16005OpenAlexW2043055027WikidataQ122961839 ScholiaQ122961839MaRDI QIDQ1149496

Robert L. Snider

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.90.191

zbMATH Keywords

group algebralower central seriestorsion free poly-(rank one abelian)-by-finite groupzero divisor conjecture

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

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Solvable Linear Groups over Division Rings ⋮ Unnamed Item ⋮ Idempotents and zero divisors in group rings ⋮ Torsion-free soluble groups, completions, and the zero divisor conjecture ⋮ More on the AR property and chain conditions in group rings ⋮ Group rings of hyperabelian groups ⋮ 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 ⋮ On rings of quotients of group algebras of soluble groups of finite rank ⋮ Zero divisors and units with small supports in group algebras of torsion-free groups ⋮ Brauer induction for \(G_ 0\) of certain infinite groups ⋮ Integrality of the group ring of an almost solvable torsion-free subgroup of \(GL_ n(Q)\)

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