Quadratic Extensions of Flag-transitive Planes
نویسندگان
چکیده
منابع مشابه
Flag-transitive Extensions of Dual Affine Planes
(with 1 , q , ̀ ) . An infinite family of simply connected examples for this diagram with q 5 2 is obtained by truncating Coxeter complexes of type D n . Two dif ferent finite families with three members and q 5 4 arise from the Steiner systems for the Mathieu groups M 2 2 , M 2 3 and M 2 4 . The geometries of these two families are simply connected . Three more simply connected examples of rank...
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The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined. 2000 Mathematics Subject Classification. Primary 51E.
متن کاملNearly flag-transitive affine planes
Spreads of orthogonal vector spaces are used to construct many translation planes of even order q, for odd m > 1, having a collineation with a (q − 1)-cycle on the line at infinity and on each of two affine lines.
متن کاملTwo Families of Flag-transitive Affine Planes
Two families of flag-transitive nondesarguesian affine planes of odd order are defined, and isomorphisms among the various planes are studied. Thir ty years ago Wagner [5] proved the impor tan t result that every finite flag-transitive affine plane is a t ranslat ion plane. However , since that t ime relatively few classes of such planes have been found. The purpose of this note is to c o m m e...
متن کاملA Class of Flag Transitive Planes
A class of translation affine planes of order q2, where q is a power of a prime/>>3 is constructed. These planes have an interesting property that their collineation groups are flag transitive.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1999
ISSN: 0195-6698
DOI: 10.1006/eujc.1999.0333