On linear groups over a field of fractions of a polycyclic group ring

DOI10.1007/BF02761413zbMath0504.16013MaRDI QIDQ1835732

A. I. Lichtman

Publication date: 1982

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

zbMATH Keywords

division ringperiodic grouplocally finite groupHirsch numberpolycyclic-by-finite groupcentral subring

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Other matrix groups over rings (20H25) Local properties of groups (20E25) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Related Items

Free subgroups in linear groups over some skew fields, On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields, On PI-subrings of matrix rings over some classes of skew fields, Algebraic elements in matrix ring over division algebras, On rings of quotients of group algebras of soluble groups of finite rank, Trace Functions in the Ring of Fractions of Polycyclic Group Rings, On division rings generated by polycyclic groups, On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II

Cites Work

• On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
• \(K_0\) and noetherian group rings
• Groups rings: an annotated questionnaire
• Zero Divisors and Idempotents in Group Rings
• Unipotent Groups of Module Automorphisms over Polycyclic Group Rings
• On Zero Divisors in Group Rings
• Unnamed Item