On the problem of finding the full automorphism group of a compact Klein surface (Q2702160)
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: On the problem of finding the full automorphism group of a compact Klein surface |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem of finding the full automorphism group of a compact Klein surface |
scientific article |
Statements
12 March 2001
0 references
automorphism groups
0 references
n.e.c. group
0 references
algebraic equation
0 references
Klein surface
0 references
On the problem of finding the full automorphism group of a compact Klein surface (English)
0 references
The paper under review surveys most known results about the following problem: let \(X\) be a compact topological surface of algebraic genus \(p>1\), with or without boundary, orientable or not. How to calculate all groups acting as the full automorphism group of some structure of Klein surface having \(X\) as underlying topological surface? It must be remarked that from Riemann's uniformization theorem, and since \(\Aut(X)\) has no more than 168 \((p-1)\) automorphisms (including the orientation-reversing ones), this problem is of a finite nature. In practice this is an unaccessible task except for low values of \(p\) or some extra conditions on the surfaces one is dealing with.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00066].
0 references
