We consider locally C(n)-geometries where all planes are circular spaces (i.e., complete graphs). We call them extensions of C(n)-geometries or (c.C(n)) geometries, for short. We give a classification of finite flag-transitive (c.C(n)) geometries when n greater-than-or-equal-to 3. A classification is given also in the case of n = 2 under the hypothesis that residues of points are thick classical generalized quadrangles.
DEL FRA, A., Ghinelli, D., Meixner, T., Pasini, A. (1991). Flag-transitive extensions of Cn geometries. GEOMETRIAE DEDICATA, 37(3), 253-273.
Flag-transitive extensions of Cn geometries
PASINI, ANTONIO
1991-01-01
Abstract
We consider locally C(n)-geometries where all planes are circular spaces (i.e., complete graphs). We call them extensions of C(n)-geometries or (c.C(n)) geometries, for short. We give a classification of finite flag-transitive (c.C(n)) geometries when n greater-than-or-equal-to 3. A classification is given also in the case of n = 2 under the hypothesis that residues of points are thick classical generalized quadrangles.
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https://hdl.handle.net/11365/17500
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