Geodesic
Abelian actions on compact nonorientable Riemann surfaces
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 634-648

Voir la notice de l'article provenant de la source Cambridge

DOI

Given an integer $g>2$, we state necessary and sufficient conditions for a finite Abelian group to act as a group of automorphisms of some compact nonorientable Riemann surface of genus g. This result provides a new method to obtain the symmetric cross-cap number of Abelian groups. We also compute the least symmetric cross-cap number of Abelian groups of a given order and solve the maximum order problem for Abelian groups acting on nonorientable Riemann surfaces.
DOI : 10.1017/S0017089521000410
Mots-clés : Nonorientable surface, Klein surface, Automorphism group, Symmetric cross-cap number 
Rodríguez, Jesús. Abelian actions on compact nonorientable Riemann surfaces. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 634-648. doi: 10.1017/S0017089521000410
@article{10_1017_S0017089521000410,
     author = {Rodr{\'\i}guez, Jes\'us},
     title = {Abelian actions on compact nonorientable {Riemann} surfaces},
     journal = {Glasgow mathematical journal},
     pages = {634--648},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089521000410},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000410/}
}
TY  - JOUR
AU  - Rodríguez, Jesús
TI  - Abelian actions on compact nonorientable Riemann surfaces
JO  - Glasgow mathematical journal
PY  - 2022
SP  - 634
EP  - 648
VL  - 64
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000410/
DO  - 10.1017/S0017089521000410
ID  - 10_1017_S0017089521000410
ER  - 
%0 Journal Article
%A Rodríguez, Jesús
%T Abelian actions on compact nonorientable Riemann surfaces
%J Glasgow mathematical journal
%D 2022
%P 634-648
%V 64
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000410/
%R 10.1017/S0017089521000410
%F 10_1017_S0017089521000410

Cité par Sources :