Generalized quasi-dihedral group as automorphism group of Riemann surfaces

Rubén A. Hidalgo; Yerika Marín Montilla; Saúl Quispe

Generalized quasi-dihedral group as automorphism group of Riemann surfaces

Algebraic Geometry 2022-10-05 v1

Authors: Rubén A. Hidalgo , Yerika Marín Montilla , Saúl Quispe

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.

Keywords

generalized quasi-dihedral group riemann surface automorphism group conformal action klein surface uniqueness

Cite

@article{arxiv.2210.01577,
  title  = {Generalized quasi-dihedral group as automorphism group of Riemann surfaces},
  author = {Rubén A. Hidalgo and Yerika Marín Montilla and Saúl Quispe},
  journal= {arXiv preprint arXiv:2210.01577},
  year   = {2022}
}

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