TITLE: Is the cardinality of occuring torsion subgroups in cofinite lattices in SL(2,R) bounded?
QUESTION [5 upvotes]: Let $\Gamma$ be a cofinite lattice in $PSL(2,\mathbb{R})$ with torsion subgroup $H$.
Is the a uniform bound on the cardinality of $H$?

REPLY [6 votes]: There are triangle groups $(2, 3, n)$ for any $n>6,$ so I would say the answer is NO