The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
| dc.contributor.author | Bujalance García, Emilio | |
| dc.contributor.author | Etayo Gordejuela, José Javier | |
| dc.contributor.author | Martínez García, Ernesto | |
| dc.date.accessioned | 2023-06-19T13:23:12Z | |
| dc.date.available | 2023-06-19T13:23:12Z | |
| dc.date.issued | 2014-01 | |
| dc.description.abstract | An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1 and 2, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 3, 4 and 5. | en |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24696 | |
| dc.identifier.citation | Bujalance García, E., Etayo Gordejuela, J. J. & Martínez García, E. «The Full Group of Automorphisms of Non-Orientable Unbordered Klein Surfaces of Topological Genus 3, 4 and 5». Revista Matemática Complutense, vol. 27, n.o 1, enero de 2014, pp. 305-26. DOI.org (Crossref), https://doi.org/10.1007/s13163-013-0121-7. | |
| dc.identifier.doi | 10.1007/s13163-013-0121-7 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.officialurl | https//doi.org/10.1007/s13163-013-0121-7 | |
| dc.identifier.relatedurl | http://link.springer.com/article/10.1007/s13163-013-0121-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33472 | |
| dc.issue.number | 1 | |
| dc.journal.title | Revista Matemática Complutense | |
| dc.language.iso | eng | |
| dc.page.final | 326 | |
| dc.page.initial | 305 | |
| dc.publisher | Springer | |
| dc.relation.projectID | MTM2011-23092 | |
| dc.relation.projectID | UCM910444 | |
| dc.relation.projectID | MTM2011-22435 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512 | |
| dc.subject.keyword | Non-orientable surface | |
| dc.subject.keyword | Klein surface | |
| dc.subject.keyword | Automorphism group | |
| dc.subject.keyword | Symmetric crosscap number | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5 | en |
| dc.type | journal article | |
| dc.volume.number | 27 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2275e5ec-53a7-4e0f-82d6-517cdf4cd56c | |
| relation.isAuthorOfPublication.latestForDiscovery | 2275e5ec-53a7-4e0f-82d6-517cdf4cd56c |
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