Theory of coverings in the study of Riemann surfaces

• Autorzy: Ewa Tyszkowska
• Języki publikacji: EN

Abstrakty

EN

For a G-covering Y → Y/G = X induced by a properly discontinuous action of a group G on a topological space Y, there is a natural action of π(X,x) on the set F of points in Y with nontrivial stabilizers in G. We study the covering of X obtained from the universal covering of X and the left action of π(X,x) on F. We find a formula for the number of fixed points of an element g ∈ G which is a generalization of Macbeath's formula applied to an automorphism of a Riemann surface. We give a new method for determining subgroups of a given Fuchsian group.

Kategorie tematyczne

• 20H10: Fuchsian groups and their generalizations
• 30F10: Compact Riemann surfaces and uniformization
• 58E40: Group actions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 2
• Strony: 173-184

Daty

wydano

2012

Twórcy

autor

Ewa Tyszkowska

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/cm127-2-3