The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 7

To determine the full automorphism group of compact Riemann and Klein surfaces is a hard problem, although some partial results are known. For example, the automorphisms groups of hyperelliptic surfaces, and those of (compact, non-orientable, unbordered) Klein surfaces whose genus is less or equal t...

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Bibliographic Details
Published in:Revista matemática complutense 2018, Vol.31 (1), p.247-261
Main Author: Bacelo, Adrián
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Automorphisms
Geometry
Mathematics
Mathematics and Statistics
Topology
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Summary:To determine the full automorphism group of compact Riemann and Klein surfaces is a hard problem, although some partial results are known. For example, the automorphisms groups of hyperelliptic surfaces, and those of (compact, non-orientable, unbordered) Klein surfaces whose genus is less or equal to 6 are known. In this paper the full automorphism groups of the surfaces of genus 7 are calculated.
ISSN:1139-1138
1988-2807
DOI:10.1007/s13163-017-0245-2