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Four-Dimensional Compact Projective Planes with a Solvable Collineation Group

✍ Scribed by Hauke Klein


Book ID
110220470
Publisher
Springer
Year
1999
Tongue
English
Weight
55 KB
Volume
77
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES


4-dimensional compact projective planes
✍ Dieter Betten πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 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
✍ 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