On soluble groups of automorphisms of nonorientable Klein surfaces

• Autorzy: G. Gromadzki
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Riemann surfaces; Klein surfaces; automorphism groups; soluble groups

Kategorie tematyczne

• 20F05: Generators, relations, and presentations
• 20F16: Solvable groups, supersolvable groups
• 30F50: Klein surfaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1992
• Tom: 141
• Numer: 3
• Strony: 215-227

Daty

wydano

1992

otrzymano

1990-11-26

poprawiono

1992-02-11

Twórcy

autor

G. Gromadzki

• Institute of Mathematics, Pedagogical University (WSP), Chodkiewicza 30, 85-064 Bydgoszcz, Poland

Bibliografia

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