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New York Journal of Mathematics 8 (2002), 181-188.

Lifting Möbius groups

J. O. Button

Published: November 21, 2002
Keywords: M"obius, lift, transcendental
Subject: 30F40, 20H10


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.