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4-dimensional compact projective planes with a 7-dimensional collineation group

✍ Scribed by Dieter Betten


Publisher
Springer
Year
1990
Tongue
English
Weight
959 KB
Volume
36
Category
Article
ISSN
0046-5755

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✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


Compact 8-dimensional projective planes
✍ Helmut Salzmann πŸ“‚ Article πŸ“… 1979 πŸ› Springer 🌐 English βš– 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