ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES

DOI10.1142/S0218196706002937zbMath1109.20023MaRDI QIDQ5470159

José Javier Etayo Gordejuela, Ernesto Martínez

Publication date: 29 May 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesalternating groupsgenusKlein surfacesHurwitz groupsNEC groups\(H^*\)-groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Compact Riemann surfaces and uniformization (30F10) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Classification theory of Riemann surfaces (30F20)

Cites Work

• Alternating groups, Hurwitz groups and \(H^*\)-groups.
• On non-Euclidean crystallographic groups
• Foundations of the theory of Klein surfaces
• Large automorphism groups of compact Klein surfaces with boundary, I
• Automorphisms of compact non-orientable Riemann surfaces

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