Generalized quasi-dihedral group as automorphism group of Riemann surfaces

2022/10/04 by Hidalgo, Rubén A., Montilla, Yerika Marín, Quispe, Saúl
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.01577

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≥ 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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