# Is the cardinality of occuring torsion subgroups in cofinite lattices in SL(2,R) bounded?

Let $\Gamma$ be a cofinite lattice in $PSL(2,\mathbb{R})$ with torsion subgroup $H$.

Is the a uniform bound on the cardinality of $H$?

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