|
Título:
|
On the problem of finding the full automorphism group of a compact Klein surface
|
|
Autores:
|
Cirre, F.J. ;
Gamboa, J. M.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Universidad Complutense de Madrid, 2000
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Álgebra
,
Tipo = Sección de libro
|
|
Resumen:
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/17249/6/Gamboa44.pdf
|
