|
Título:
|
The symmetric crosscap number of the groups Cm × Dn
|
|
Autores:
|
Etayo Gordejuela, J. Javier ;
Martínez García, Ernesto
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Cambridge University Press, 2008
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
,
Tipo = Artículo
|
|
Resumen:
|
Every finite group G acts as an automorphism group of some non-orientable Klein surfaces without boundary. The minimal genus of these surfaces is called the symmetric cross-cap number and denoted by ˜?(G). This number is related to other parameters defined on surfaces as the symmetric genus and the strong symmetric genus. The systematic study of the symmetric cross-cap number was begun by C. L. May, who also calculated it for certain finite groups. Here we obtain the symmetric cross-cap number for the groups Cm ×Dn. As an application of this result, we obtain arithmetic sequences of integers which are the symmetric cross-cap number of some group. Finally, we recall the several different genera of the groups Cm × Dn.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/15812/1/Etayo10.pdf
|
