  This is an English translation of the paper "Ueber die algebraischen Curven
von den Geschlechtern $p = 4$, $5$ und $6$, welche eindeutigen Transformationen
in sich besitzen" by Anders Wiman, Bihang till Kongl. Svenska
vetenskaps-akademiens handlingar 21 (1895): 1-41. The article, originally
written in German, classifies non-hyperelliptic curves which have non-trivial
automorphism groups via classical methods in algebraic geometry.
