Real Algebraic and Analytic Geometry
Submission: 2004, August 18.
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 cyclic. The bounds obtained this way depend only on the algebraic genus of S.
Mathematics Subject Classification (2000): 30F50.
Keywords and Phrases: Klein surface, automorphism group, upper bound, invariant subset.
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