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Nov 28, 2010 at 19:08 comment added Pete L. Clark @Igor: Thanks. It looks like this paper deals with the case of reflections (i.e., involutions with exactly one negative eigenvalue) in $GL(V)$ rather than involutions. Here, as in the Cartan-Dieudonne Theorem, the minimal number seems to depend on the dimension of $V$. This is not exactly what I asked about, but it is just as interesting and makes me wonder even more about Question 2: apparently Dieudonne's book on "classical groups" gives short shrift to $GL(V)$!
Nov 28, 2010 at 18:40 history answered Igor Rivin CC BY-SA 2.5