For example computing the automorphism group of the 2 genus surface made by triangles (12,2,3) in the hyperbolic plane. In addition,if you know the trick of the computing the automorphism groups like that please give me some ideas! Thank you!
2026-03-30 08:01:28.1774857688
Is there any textbook about computing the automorphism group of the triangle group?
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If $\Gamma$ is the Fuchsian group such that $S=\mathbb{H}/\Gamma$ then $\mbox{Aut}(S)$ is the quotient of $\Gamma$ by its normalising subgroup, and is necessarily finite. I'm afraid I don't know how to compute what this group is for your particular example.