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Automorphism groups of compact bordered Klein surfaces with invariant subsets

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Abstract

In this work we get upper bounds for the order of a group of automorphisms of a compact bordered Klein surface S of algebraic genus greater than 1. These bounds depend on the algebraic genus of S and on the cardinals of finite subsets of S which are invariant under the action of the group. We use our results to obtain upper bounds for the order of a group of automorphism whose action on the set of connected components of the boundary of S is not transitive. The bounds obtained this way depend only on the algebraic genus of S.

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Authors and Affiliations

  1. Departamento de Álgebra, Facultad de Matemáticas, Universidad Complutense de Madrid, Ciudad Universitaria s/n, 28040, Madrid, Spain

    Ángel L. Pérez del Pozo

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  1. Ángel L. Pérez del Pozo
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Correspondence to Ángel L. Pérez del Pozo.

Additional information

The author is partially supported by the European Network RAAG HPRN-CT-2001-00271 and the Spanish GAAR DGICYT BFM2002-04797.

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Pérez del Pozo, Á.L. Automorphism groups of compact bordered Klein surfaces with invariant subsets. manuscripta math. 122, 163–172 (2007). https://doi.org/10.1007/s00229-006-0061-3

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  • DOI: https://doi.org/10.1007/s00229-006-0061-3

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