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https://doi.org/10.21256/zhaw-1735
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bödi, Richard | - |
dc.date.accessioned | 2018-02-27T13:48:32Z | - |
dc.date.available | 2018-02-27T13:48:32Z | - |
dc.date.issued | 1999-07 | - |
dc.identifier.issn | 0003-889X | de_CH |
dc.identifier.issn | 1420-8938 | de_CH |
dc.identifier.uri | https://digitalcollection.zhaw.ch/handle/11475/3229 | - |
dc.description | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) | de_CH |
dc.description.abstract | We prove that the only compact projective Hughes planes which are smooth projective planes are the classical planes over the complex numbers C, the quaternions H, and the Caley numbers O. As a by-product this shows that an 8-dimensional smooth projective plane which admits a collineation group of dimension d≥17 is isomorphic to the quaternion projective plane P 2 H. For topological compact projective planes this is true if d≥19, and this bound is sharp. | de_CH |
dc.language.iso | en | de_CH |
dc.publisher | Springer | de_CH |
dc.relation.ispartof | Archiv der Mathematics | de_CH |
dc.rights | Licence according to publishing contract | de_CH |
dc.subject | Complex number | de_CH |
dc.subject | Projective plane | de_CH |
dc.subject | Collineation group | de_CH |
dc.subject | Classical plane | de_CH |
dc.subject | Compact projective plane | de_CH |
dc.subject.ddc | 510: Mathematik | de_CH |
dc.title | Smooth Hughes planes are classical | de_CH |
dc.type | Beitrag in wissenschaftlicher Zeitschrift | de_CH |
dcterms.type | Text | de_CH |
zhaw.departement | School of Engineering | de_CH |
zhaw.publisher.place | Basel | de_CH |
dc.identifier.doi | 10.21256/zhaw-1735 | - |
dc.identifier.doi | 10.1007/s000130050022 | de_CH |
zhaw.funding.eu | No | de_CH |
zhaw.issue | 1 | de_CH |
zhaw.originated.zhaw | Yes | de_CH |
zhaw.pages.end | 80 | de_CH |
zhaw.pages.start | 73 | de_CH |
zhaw.publication.status | publishedVersion | de_CH |
zhaw.volume | 73 | de_CH |
zhaw.publication.review | Peer review (Publikation) | de_CH |
Appears in collections: | Publikationen School of Engineering |
Files in This Item:
File | Description | Size | Format | |
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1993_Bödi_Smooth Hughes planes are classical_Arch. Math..pdf | 357.22 kB | Adobe PDF | View/Open |
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Bödi, R. (1999). Smooth Hughes planes are classical. Archiv Der Mathematics, 73(1), 73–80. https://doi.org/10.21256/zhaw-1735
Bödi, R. (1999) ‘Smooth Hughes planes are classical’, Archiv der Mathematics, 73(1), pp. 73–80. Available at: https://doi.org/10.21256/zhaw-1735.
R. Bödi, “Smooth Hughes planes are classical,” Archiv der Mathematics, vol. 73, no. 1, pp. 73–80, Jul. 1999, doi: 10.21256/zhaw-1735.
BÖDI, Richard, 1999. Smooth Hughes planes are classical. Archiv der Mathematics. Juli 1999. Bd. 73, Nr. 1, S. 73–80. DOI 10.21256/zhaw-1735
Bödi, Richard. 1999. “Smooth Hughes Planes Are Classical.” Archiv Der Mathematics 73 (1): 73–80. https://doi.org/10.21256/zhaw-1735.
Bödi, Richard. “Smooth Hughes Planes Are Classical.” Archiv Der Mathematics, vol. 73, no. 1, July 1999, pp. 73–80, https://doi.org/10.21256/zhaw-1735.
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