Geodesic
On soluble groups of automorphisms of nonorientable Klein surfaces
Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 215-227 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.
DOI : 10.4064/fm-141-3-215-227
Keywords: Riemann surfaces, Klein surfaces, automorphism groups, soluble groups

G. Gromadzki 1

1 
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G. Gromadzki. On soluble groups of automorphisms of nonorientable Klein surfaces. Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 215-227. doi: 10.4064/fm-141-3-215-227

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