The automorphism group of a compact generalized polygon has finite dimension (Q1295743)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The automorphism group of a compact generalized polygon has finite dimension |
scientific article; zbMATH DE number 1308343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The automorphism group of a compact generalized polygon has finite dimension |
scientific article; zbMATH DE number 1308343 |
Statements
The automorphism group of a compact generalized polygon has finite dimension (English)
0 references
28 June 1999
0 references
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.
0 references
finite dimensional
0 references
generalized polygon
0 references
compact polygon
0 references
automorphism group
0 references
