Some soluble groups of finite rank and some related matrix groups

• Published in: Український математичний журнал
• Date: 1991
• Main Author: Wehrfritz, B.A.F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1991
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153877
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some soluble groups of finite rank and some related matrix groups / B.A.F. Wehrfritz // Український математичний журнал. — 1991. — Т. 43, № 7-8. — С. 894–901. — Бібліогр.: 8 назв. — англ.

Let G be a torsion-free soluble group of finite rank and F ane field. The group algebra FG is an Ore domain; let D denote its division ring of quotients. it Seems likely that D is always locally residually finite-dimensional over F. this is certainly so in the non-modular case. Here in some special...