The inner and outer space of 2-dimensional Laguerre planes
1997 ◽
Vol 62
(1)
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pp. 104-127
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AbstractThe classical 2-dimensional Laguerre plane is obtained as the geometry of non-trivial plane sections of a cylinder in R3 with a circle in R2 as base. Points and lines in R3 define subsets of the circle set of this geometry via the affine non-vertical planes that contain them. Furthemore, vertical lines and planes define partitions of the circle set via the points and affine non-vertical lines, respectively, contained in them.We investigate abstract counterparts of such sets of circles and partitions in arbitrary 2-dimensional Laguerre planes. We also prove a number of related results for generalized quadrangles associated with 2-dimensional Laguerre planes.
2019 ◽
Vol 17
(1)
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pp. 47-52
2005 ◽
Vol 72
(2)
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pp. 213-223
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1982 ◽
Vol 40
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pp. 600-603
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2010 ◽
Vol 1
(1)
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pp. 75-93
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