Please use this identifier to cite or link to this item:
https://doi.org/10.21256/zhaw-1741
Publication type: | Article in scientific journal |
Type of review: | Peer review (publication) |
Title: | 16-dimensional smooth projective planes with large collineation groups |
Authors: | Bödi, Richard |
DOI: | 10.21256/zhaw-1741 10.1023/A:1005020223604 |
Published in: | Geometriae Dedicata |
Volume(Issue): | 72 |
Issue: | 3 |
Page(s): | 283 |
Pages to: | 298 |
Issue Date: | Oct-1998 |
Publisher / Ed. Institution: | Springer |
Publisher / Ed. Institution: | Wien |
ISSN: | 0046-5755 1572-9168 |
Language: | English |
Subjects: | Smooth projective; Plane homogeneity; 16-dimensional |
Subject (DDC): | 510: Mathematics |
Abstract: | 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. |
Further description: | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) |
URI: | https://digitalcollection.zhaw.ch/handle/11475/3238 |
Fulltext version: | Published version |
License (according to publishing contract): | Licence according to publishing contract |
Departement: | School of Engineering |
Appears in collections: | Publikationen School of Engineering |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1998_Bödi_16-Dimensional Smooth Projective Planes _Geometriae Dedicata.pdf | 133.2 kB | Adobe PDF | View/Open |
Show full item record
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.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.