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<p>We study conformal/anticonformal actions of the generalized quasi-dihedral group <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(G_{n}\)</EquationSource> </InlineEquation> of order 8<i>n</i>, for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(n\ge 2\)</EquationSource> </InlineEquation>, on closed Riemann surfaces, pseudo-real Riemann surfaces and compact Klein surfaces. We also study the topological uniqueness action problem on the corresponding minimal genera for each of these actions.</p>

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Generalized Quasi-dihedral Group as Automorphism Group of Riemann Surfaces

  • 期刊论文

  • 发表日期：

    2026年2月13日

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  • Rubén A. Hidalgo,
  • Yerika L. Marín Montilla,
  • Saúl Quispe

摘要

We study conformal/anticonformal actions of the generalized quasi-dihedral group \(G_{n}\) of order 8n, for \(n\ge 2\) , on closed Riemann surfaces, pseudo-real Riemann surfaces and compact Klein surfaces. We also study the topological uniqueness action problem on the corresponding minimal genera for each of these actions.