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

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 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Springer Journals

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

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Publisher
Springer Milan
Copyright
Copyright © 2017 by Springer-Verlag Italia
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Theoretical, Mathematical and Computational Physics
ISSN
1578-7303
eISSN
1579-1505
D.O.I.
10.1007/s13398-017-0387-6
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasSpringer Journals

Published: Mar 4, 2017

References

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