(B)-Geometries are incidence structures arising from permutation sets. The automorphism groups of (B)-Geometries are studied in the paper. In certain cases they yield examples of inversive planes and sublplanes which are embedded in Minkowski planes. The automorphism groups of (B)-geometries associated with both the finite affine semilinear group and the finite projective semilineart group, in their representation on the points of the finite projective and affine line, are described.
Automorphisms of B-Geometries / Quattrocchi, Pasquale; Rinaldi, Gloria. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 41:(1991), pp. 145-156.
Automorphisms of B-Geometries
QUATTROCCHI, Pasquale;RINALDI, Gloria
1991
Abstract
(B)-Geometries are incidence structures arising from permutation sets. The automorphism groups of (B)-Geometries are studied in the paper. In certain cases they yield examples of inversive planes and sublplanes which are embedded in Minkowski planes. The automorphism groups of (B)-geometries associated with both the finite affine semilinear group and the finite projective semilineart group, in their representation on the points of the finite projective and affine line, are described.
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