Realizability of Branched Coverings of Surfaces
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Publication:3739901
DOI10.2307/1999265zbMath0603.57001OpenAlexW4240038726MaRDI QIDQ3739901
Allan L. Edmonds, Ravindra S. Kulkarni, Robert E. Stong
Publication date: 1984
Full work available at URL: https://doi.org/10.2307/1999265
Covering spaces and low-dimensional topology (57M10) Low-dimensional topology of special (e.g., branched) coverings (57M12)
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Cites Work
- Unnamed Item
- On the classification of generic branched coverings of surfaces
- Cycles comme produit de deux permutations de classes données
- Regular tessellations of surfaces and (p,q,2)-triangle groups
- A remark about permutations
- Matrices and cohomology
- A theorem on permutations
- Branched Coverings. II
- Branch Point Structure of Covering Maps Onto Nonorientable Surfaces
- Subgroups of Fuchsian Groups and Finite Permutation Groups
- Torsion free subgroups of Fuchsian groups and tessellations of surfaces
- Ramified coverings of Riemann surfaces