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https://doi.org/10.21256/zhaw-1741| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | 16-dimensional smooth projective planes with large collineation groups |
| Autor/-in: | Bödi, Richard |
| DOI: | 10.21256/zhaw-1741 10.1023/A:1005020223604 |
| Erschienen in: | Geometriae Dedicata |
| Band(Heft): | 72 |
| Heft: | 3 |
| Seite(n): | 283 |
| Seiten bis: | 298 |
| Erscheinungsdatum: | Okt-1998 |
| Verlag / Hrsg. Institution: | Springer |
| Verlag / Hrsg. Institution: | Wien |
| ISSN: | 0046-5755 1572-9168 |
| Sprache: | Englisch |
| Schlagwörter: | Smooth projective; Plane homogeneity; 16-dimensional |
| Fachgebiet (DDC): | 510: Mathematik |
| Zusammenfassung: | Smooth projective planes are projective planes defined on smooth manifolds (i.e. the set of points and the set of lines are smooth manifolds) such that the geometric operations of join and intersection are smooth. A systematic study of such planes and of their collineation groups can be found in previous works of the author. We prove in this paper that a 16-dimensional smooth projective plane which admits a collineation group of dimension d ≥ 39 is isomorphic to the octonion projective plane P2 O. For topological compact projective planes this is true if d ≥ 41. Note that there are nonclassical topological planes with a collineation group of dimension 40. |
| Weitere Angaben: | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/3238 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Engineering |
| Enthalten in den Sammlungen: | Publikationen School of Engineering |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| 1998_Bödi_16-Dimensional Smooth Projective Planes _Geometriae Dedicata.pdf | 133.2 kB | Adobe PDF |  Öffnen/Anzeigen |
Zur Langanzeige
Bödi, R. (1998). 16-dimensional smooth projective planes with large collineation groups. Geometriae Dedicata, 72(3), 283–298. https://doi.org/10.21256/zhaw-1741
Bödi, R. (1998) ‘16-dimensional smooth projective planes with large collineation groups’, Geometriae Dedicata, 72(3), pp. 283–298. Available at: https://doi.org/10.21256/zhaw-1741.
R. Bödi, “16-dimensional smooth projective planes with large collineation groups,” Geometriae Dedicata, vol. 72, no. 3, pp. 283–298, Oct. 1998, doi: 10.21256/zhaw-1741.
BÖDI, Richard, 1998. 16-dimensional smooth projective planes with large collineation groups. Geometriae Dedicata. Oktober 1998. Bd. 72, Nr. 3, S. 283–298. DOI 10.21256/zhaw-1741
Bödi, Richard. 1998. “16-Dimensional Smooth Projective Planes with Large Collineation Groups.” Geometriae Dedicata 72 (3): 283–98. https://doi.org/10.21256/zhaw-1741.
Bödi, Richard. “16-Dimensional Smooth Projective Planes with Large Collineation Groups.” Geometriae Dedicata, vol. 72, no. 3, Oct. 1998, pp. 283–98, https://doi.org/10.21256/zhaw-1741.
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