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 New York Journal of Mathematics 8 (2002), 181-188.
 Published: November 21, 2002 Keywords: M"obius, lift, transcendental Subject: 30F40, 20H10
 Abstract: We construct explicit examples of subgroups of $\mathrm{PSL}(2,\mathbb C)$, $\mathrm{PSU}(2)$ and $\mathrm{PSL}(2,\mathbb R)$ with no elements of order 2 which cannot be lifted up to $\mathrm{SL}(2,\mathbb C)$. Author information: Selwyn College, Cambridge, CB3 9DQ, U.K. jb128@dpmms.cam.ac.uk http://www.dpmms.cam.ac.uk/site2000/Staff/button01.html