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arXiv · 2210.01577

Generalized quasi-dihedral group as automorphism group of Riemann surfaces

Rubén A. Hidalgo·Yerika Marín Montilla·Saúl Quispe
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Abstract

In this paper, we discuss certain types of conformal/anticonformal actions of the generalized quasi-dihedral group $G_{n}$ of order $8n$, for $n\geq 2$, on closed Riemann surfaces, pseudo-real Riemann surfaces and compact Klein surfaces, and in each of these actions we study the uniqueness (up to homeomorphisms) action problem.

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Rubén A. Hidalgo, Yerika Marín Montilla, Saúl Quispe. 2022-10-04. Generalized quasi-dihedral group as automorphism group of Riemann surfaces. https://doi.org/10.1007/s00031-026-09950-6

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