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Uniform -generation of the 4-dimensional classical groups

✍ Scribed by M.A. Pellegrini; M.C. Tamburini Bellani; M.A. Vsemirnov


Book ID
116596949
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
418 KB
Volume
369
Category
Article
ISSN
0021-8693

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Elementary equivalence of infinite-dimen
✍ Vladimir Tolstykh πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 363 KB

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 inΓΏnite dimension -over D. We prove, in particular, that, uniformly in -and D, the ΓΏrst