Digitale Medien
Springer
Journal of geometry
21 (1983), S. 59-65
ISSN:
1420-8997
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract Affine planes which admit a point transitive collineation group and at least one affine elation are considered. Such a plane is shown to be (A,ℓ∞)-transitive for some point A on ℓt8 and to be a translation plane if at least two distinct elation centers exist. If the plane has at least (order)1/2+1 distinct elation centers and the group generated by the elations is nonsolvable then the plane is either Desarguesian or Lüneburg-Tits.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01918131
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