Reconstruction of incidence geometries from groups of automorphisms
Copyright policy )Reconstruction of incidence geometries from groups of automorphisms
Freudenthal describes a method to construct an incidence geometry from a group such that the given group acts transitively on the set of flags (incident point-line pairs) of the constructed geometry. This method can be found in [5], too. Here we give a useful generalization to geometries that are not flag-homogeneous. Such geometries occur quite naturally in the study of stable planes.
- Università degli studi di Salerno Italy
- Darmstadt University of Applied Sciences Germany
- University of Stuttgart Germany
reconstruction, automorphisms, incidence geometry, Topological linear incidence structures, 530, Inzidenzgeometrie, 510, Automorphismengruppe, topological stable planes, Homomorphism, automorphism and dualities in linear incidence geometry, Inzidenzgeometrie , Automorphismengruppe
reconstruction, automorphisms, incidence geometry, Topological linear incidence structures, 530, Inzidenzgeometrie, 510, Automorphismengruppe, topological stable planes, Homomorphism, automorphism and dualities in linear incidence geometry, Inzidenzgeometrie , Automorphismengruppe
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