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.
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Received: August 10, 1999 Final version received: June 19, 2000
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Lee, J., Kim, JW. On Abelian Branched Coverings of the Sphere. Graphs Comb 18, 329–342 (2002). https://doi.org/10.1007/s003730200025
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DOI: https://doi.org/10.1007/s003730200025