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.
We study conformal/anticonformal actions of the quasi-abelian group QA n of order 2 n , for n ≥ 4, on closed Riemann surfaces, pseudo-real Riemann surfaces and compact Klein surfaces. For each of these actions, we study the topological uniqueness action problem on the corresponding minimal genera.
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