(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.
41
145
156
Automorphisms of B-Geometries / Quattrocchi, Pasquale; Rinaldi, Gloria. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 41(1991), pp. 145-156.
Quattrocchi, Pasquale; Rinaldi, Gloria
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/304097
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