On rings of quotients of group algebras of soluble groups of finite rank

DOI10.1016/0022-4049(91)90052-4zbMath0763.16013OpenAlexW2049013760MaRDI QIDQ1181502

Bertram Arthur Frederick Wehrfritz

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90052-4

zbMATH Keywords

group algebramatrix groupsmetabelian groupsmatrix ringclassical ring of quotientssoluble-by-finite linear groupsfinite extensions of torsion-free soluble groupslocally residually finite dimensional

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other matrix groups over rings (20H25) Residual properties and generalizations; residually finite groups (20E26) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

• Polycyclic group algebras and theorems of Harper and Lichtman
• The zero divisor conjecture for some solvable groups
• On linear groups over a field of fractions of a polycyclic group ring
• Group rings of polycyclic groups
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• Ideals in group rings of soluble groups of finite rank
• On Skew Linear Groups Associated with Certain Soluble-by-Finite Groups
• Infinite Crossed Products and Group-Graded Rings
• Trace Functions in the Ring of Fractions of Polycyclic Group Rings
• Observations on group rings
• Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras
• The Logarithmic Limit-Set of an Algebraic Variety
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