FUJIKAWA, Ege

*The order of conformal automorphisms
of Riemann surfaces of infinite type*

### Abstract

Let *R* be a Riemann surface of infinite type
such that the
injectivity radius at any point in *R* is less than a
positive constant *M*, and *f*
a conformal automorphism of *R* fixing a
compact subset in *R*. We show that
the order of *f* is less than a certain constant
depending on *M*.

submission: 13 June, 2002

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