Groups of symmetric crosscap number less than or equal to 17
| dc.contributor.author | Bacelo Polo, Adrián | |
| dc.date.accessioned | 2023-06-17T12:45:20Z | |
| dc.date.available | 2023-06-17T12:45:20Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Every finite group G acts on some non-orientable unbordered surfaces. The minimal topological genus of those surfaces is called the symmetric crosscap number of G. It is known that 3 is not the symmetric crosscap number of any group but it remains unknown whether there are other such values, called gaps. In this paper we obtain the groups with symmetric crosscap number less than or equal to 17. Also, we obtain six infinite families with symmetric crosscap number of the form 12k + 3. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación | |
| dc.description.sponsorship | Universidad Complutense de Madrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/76832 | |
| dc.identifier.doi | 10.26493/1855-3974.1341.5a3 | |
| dc.identifier.issn | 1855-3974 | |
| dc.identifier.officialurl | https://doi.org/10.26493/1855-3974.1341.5a3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/12900 | |
| dc.journal.title | Ars mathematica contemporanea | |
| dc.language.iso | eng | |
| dc.page.final | 190 | |
| dc.page.initial | 173 | |
| dc.publisher | University of Primorska | |
| dc.relation.projectID | MTM2014-55565 | |
| dc.relation.projectID | UCM910444 | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.cdu | 512 | |
| dc.subject.cdu | 512.54 | |
| dc.subject.keyword | Symmetric crosscap number | |
| dc.subject.keyword | Klein surfaces | |
| dc.subject.ucm | Álgebra | |
| dc.subject.ucm | Grupos (Matemáticas) | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Groups of symmetric crosscap number less than or equal to 17 | |
| dc.type | journal article | |
| dc.volume.number | 15 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 79e291a6-3b0c-4ce4-a034-2e8ebf15133e | |
| relation.isAuthorOfPublication.latestForDiscovery | 79e291a6-3b0c-4ce4-a034-2e8ebf15133e |
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