p-Groups of automorphisms of compact non-orientable Riemann surfaces
We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus g≥3. We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also determine those values of g for which these bounds are sharp. Further...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/4667 |
| Online Access: | https://hdl.handle.net/20.500.14352/4667 |
| Access Level: | Open access |
| Keyword: | Non-orientable compact Riemann surfaces p-Groups NEC groups Cyclic and dihedral groups · Riemann–Hurwitz formula Funciones (Matemáticas) Geometría 1202 Análisis y Análisis Funcional 1204 Geometría |
| Summary: | We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus g≥3. We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also determine those values of g for which these bounds are sharp. Furthermore, the same kind of results are obtained when the p-group acts as the full automorphism group of the surface. |
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