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Stable Finiteness of Group Rings in Arbitrary Characteristic

โœ Scribed by Pere Ara; Kevin C. O'Meara; Francesc Perera

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
168 KB
Volume
170
Category
Article
ISSN
0001-8708

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โœฆ Synopsis

We show that every (discrete) group ring DยฝG of a free-by-amenable group G over a division ring D of arbitrary characteristic is stably finite, in the sense that one-sided inverses in all matrix rings over DยฝG are two-sided. Our methods use Sylvester rank functions and the translation ring of an amenable group.

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