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An infinite-dimensional torsion-freeFP∞group

✍ Scribed by Kenneth S. Brown; Ross Geoghegan

Publisher: Springer-Verlag
Year: 1984
Tongue: English
Weight: 791 KB
Volume: 77
Category: Article
ISSN: 0020-9910
DOI: 10.1007/bf01388451

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Let D be a division ring such that the number of conjugacy classes of the multiplicative group D \* is equal to the power of D \* . Suppose that H (V ) is the group GL(V ) or PGL(V ), where V is a vector space of inÿnite dimension -over D. We prove, in particular, that, uniformly in -and D, the ÿrst