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16-dimensional compact projective planes with a collineation group of dimension >= 35

โœ Scribed by Helmut Salzmann

Book ID
105755678
Publisher
Springer
Year
2008
Tongue
English
Weight
112 KB
Volume
90
Category
Article
ISSN
0003-889X

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โœฆ Synopsis

A compact projective plane is isomorphic to the classical Moufang plane if it admits an automorphism group of dimension at least 38 which fixes a non-incident point-line pair.

๐Ÿ“œ SIMILAR VOLUMES

4-dimensional compact projective planes
4-dimensional compact projective planes with a 7-dimensional collineation group
โœ Dieter Betten ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 959 KB

The classification of 4-dimensional compact projective planes having a 7-dimensional collineation group is completed. Besides one single shift plane all such planes are either translation planes or dual translation planes.

Compact 8-dimensional projective planes
Compact 8-dimensional projective planes with large collineation groups
โœ Helmut Salzmann ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 1008 KB

Compact connected topological planes of dimension d ~< 4 have been studied extensively, and rather conclusive results have been obtained. In particular, the point set P is homeomorphic to the real or complex projective plane, and the lines are one-or two-spheres respectively. Moreover, non-degenerat