The Automorphism Group of a Compact Generalized Polygon has Finite Dimension
Copyright policy )The Automorphism Group of a Compact Generalized Polygon has Finite Dimension
The paper presents the following result: If a compact \(n\)-gon has a point space of finite dimension, then its automorphism group is also finite dimensional. The proof of this theorem is remarkably easy and works for all \(n\) simultaneously. The key ingredients are several (new) results concerning sub-\(n\)-gons of topological \(n\)-gons.
- University of Stuttgart Germany
Homomorphism, automorphism and dualities in linear incidence geometry, generalized polygon, finite dimensional, automorphism group, Topological linear incidence structures, Generalized quadrangles and generalized polygons in finite geometry, compact polygon
Homomorphism, automorphism and dualities in linear incidence geometry, generalized polygon, finite dimensional, automorphism group, Topological linear incidence structures, Generalized quadrangles and generalized polygons in finite geometry, compact polygon
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