16-dimensional smooth projective planes with large collineation groups

Bödi, Richard

doi:10.21256/zhaw-1741

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.