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ArticleOriginal scientific text

Title

On soluble groups of automorphisms of nonorientable Klein surfaces

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
Riemann surfaces, Klein surfaces, automorphism groups, soluble groups

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm141/fm14132.pdf

Fundamenta Mathematicae
1992/141/3
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Pages:
215-227
Main language of publication
English
Received
1990-11-26
Accepted
1992-02-11
Published
1992
Exact and natural sciences