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Finite Klingenberg planes

โœ Scribed by David A. Drake; Hanfried Lenz


Book ID
112965442
Publisher
Vandenhoeck & Ruprecht
Year
1975
Tongue
German
Weight
555 KB
Volume
44
Category
Article
ISSN
0025-5858

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๐Ÿ“œ SIMILAR VOLUMES


Projectivities in Moufang-Klingenberg pl
โœ Andrea Blunck ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 711 KB

ABSaV.ACT. Let ~ยข' = (~, ยฃ.a, ~, =) be a Moufang-Klingenberg plane coordinatized by a local alternative ring R. We define the projectivities of a line 9 in Jยข geometrically as products of perspectivities. It is shown that under certain conditions the group of projectivities of 9 is generated by the

Cross-ratios in Moufang-Klingenberg plan
โœ Andrea Blunck ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 634 KB

## CROSS-RATIOS IN MOUFANG-KLINGENBERG PLANES ABSVRACT. Certain geometric groups operating on a line g in a Moufang-Klingenberg plane J/ are described algebraically in terms of the underlying alternative ring R. For the case of the dual numbers R = A + Ae (A alternative field, e2= 0) a notion of c

Neighbor-preserving epimorphisms between
โœ Dirk Keppens ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 418 KB

This paper deals with neighbor-preserving epimorphisms between arbitrary projective Klingenberg planes. Our main result is an algebraic characterization of such epimorphisms which generalizes a theorem of J. C. Ferrar and F, D. Veldkamp [2] for neighbor-preserving epimorphisms between projective rin

Distant-preserving epimorphisms between
โœ Dirk Keppens ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 397 KB

This paper deals with epimorphisms between arbitrary projective Klingenberg planes which preserve the non-neighbor relation. Our main result is an algebraic characterization of such epimorphisms which generalizes a theorem of F. D. Veldkamp for distant preserving epimorphisms between projective rin