Abstract.
We obtain an enumeration formula for the number of weak equivalence classes of the branched (?×ℬ)-covering of the sphere with m-branch points, when ? and ℬ are finite abelian groups with (|?|,|ℬ|)=1. From this, we can deduce an explicit formula for enumerating the weak equivalence classes of pseudofree spherical (ℤ p ×ℤ q )-actions on a given surface, when p and q are distinct primes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Author information
Authors and Affiliations
Additional information
Received: August 10, 1999 Final version received: June 19, 2000
Rights and permissions
About this article
Cite this article
Lee, J., Kim, JW. On Abelian Branched Coverings of the Sphere. Graphs Comb 18, 329–342 (2002). https://doi.org/10.1007/s003730200025
Issue Date:
DOI: https://doi.org/10.1007/s003730200025