Automorphisms of (B)-geometries
Autor: | Gloria Rinaldi, Pasquale Quattrocchi |
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Rok vydání: | 1991 |
Předmět: |
Discrete mathematics
Pure mathematics Circle geometries. Automorphism groups. Permutation sets Automorphisms of the symmetric and alternating groups Inversive Outer automorphism group Automorphism Inner automorphism Minkowski space Geometry and Topology Affine transformation Incidence (geometry) Mathematics |
Zdroj: | Journal of Geometry. 41:145-156 |
ISSN: | 1420-8997 0047-2468 |
DOI: | 10.1007/bf01258515 |
Popis: | (B)-Geometries are incidence structures arising from permutation sets. The present paper studies the automorphism groups of (B)-Geometries. In certain cases these automorphisms yield examples of inversive planes and of subplanes which are embedded in Minkowski planes (chapter 2). In chapter 3 we describe the automorphism groups of the (B)-Geometries arising from the groups PΓL(2, pn) and AΓL(1, pn) in their natural representations on the points of the projective and affine line. |
Databáze: | OpenAIRE |
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