The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 6

An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfac...

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Bibliographic Details
Published in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2018-04, Vol.112 (2), p.391-405
Main Author: Bacelo, Adrián
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
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Summary:An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1, 2, 3, 4 and 5, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 6.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-017-0387-6