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p-Groups of automorphisms of compact non-orientable Riemann surfaces.
- Source :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Oct2021, Vol. 115 Issue 4, p1-20, 20p
- Publication Year :
- 2021
-
Abstract
- We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus g ≥ 3 . We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also determine those values of g for which these bounds are sharp. Furthermore, the same kind of results are obtained when the p-group acts as the full automorphism group of the surface. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15787303
- Volume :
- 115
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM
- Publication Type :
- Periodical
- Accession number :
- 151547235
- Full Text :
- https://doi.org/10.1007/s13398-021-01101-8