JP Journal of Geometry and Topology
Volume 12, Issue 2, Pages 219 - 234
(July 2012)
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PRIMITIVITY OF MONODROMY GROUPS OF BRANCHED COVERINGS: A NON-ORIENTABLE CASE
Natalia A. Viana Bedoya and Daciberg Lima Gonçalves
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Abstract:
In the present work we characterize even-fold branched coverings over the projective plane with primitive monodromy groups. This answers the question on the decomposability of this class of maps, filling a gap for the non-orientable case. We also present similar results for the case where the degree is 9. |
| Keywords and phrases: branched coverings, primitive groups, imprimitive groups, permutation groups, projective plane. |
| Communicated by Yasuo Matsushita |
| Number of Downloads: 317 | Number of Views: 744 |
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