Suppose a discrete subgroup $\Gamma$ of $PSL(2,\mathbb{R})$ acts on $\mathbb{H}^2$. Why is the fundamental domain non-compact if $\Gamma$ contains a parabolic element? Thanks in advance.
2026-03-31 07:52:59.1774943579
Fundamental domain of a Fuchsian group is non-compact if the group contains parabolic element
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