Surface symmetries and $PSL_2(p)$

DOI10.1090/S0002-9947-06-04011-6zbMath1123.57010OpenAlexW1523248848MaRDI QIDQ3420399

Jennifer Taback, Murad Özaydın, Charlotte K. Simmons

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04011-6

zbMATH Keywords

inverse Galois problem\(\text{PSL}_2(p)\)surface symmetries

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Inverse Galois theory (12F12) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

• Finite groups of genus zero
• Finite groups acting on surfaces and the genus of a group
• Representing \(PSL_ 2(p)\) on a Riemann surface of least genus
• Symmetries of surfaces
• The stable genus increment for group actions on closed 2-manifolds
• Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over \(\overline{\mathbb Q}\)
• Pseudofree actions and the greedy algorithm
• Cyclic p-groups of symmetries of surfaces
• Realizability of Branched Coverings of Surfaces
• The genus of PSl2 (q).
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