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Projectivities in Moufang-Klingenberg planes

โœ Scribed by Andrea Blunck

Publisher
Springer
Year
1991
Tongue
English
Weight
711 KB
Volume
40
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

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 algebraically defined permutations x ~ x + t (t E R), x ~ cx (c ~ R a unit),

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