Real Algebraic and Analytic Geometry |

Automorphism groups of compact bordered Klein surfaces with invariant subsets.

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Submission: 2004, August 18.

*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 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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