Surface symmetries and 𝑃𝑆𝐿₂(𝑝)

Özaydin, Murad; Simmons, Charlotte; Taback, Jennifer

doi:10.1090/S0002-9947-06-04011-6

Surface symmetries and $PSL_2(p)$
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by Murad Özaydin, Charlotte Simmons and Jennifer Taback PDF

Trans. Amer. Math. Soc. 359 (2007), 2243-2268 Request permission

Abstract:

We classify, up to conjugacy, all orientation-preserving actions of $PSL_2(p)$ on closed connected orientable surfaces with spherical quotients. This classification is valid in the topological, PL, smooth, conformal, geometric and algebraic categories and is related to the Inverse Galois Problem.

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