Proceedings of the American Mathematical Society

Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two

Author(s): Warren Dicks; Jaume Llibre
Journal: Proc. Amer. Math. Soc. 124 (1996), 1583-1591.
MSC (1991): Primary 55M20; Secondary 57M20, 54H20, 57M60
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Abstract: We show that for any orientation-preserving self-homeomorphism $\alpha$ of the double torus $\Sigma _{2}$ there exists a point $p$

of $\Sigma _{2}$ such that $\alpha (\alpha (p)) = p$ . This answers a question raised by Jakob Nielsen in 1942.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 55M20, 57M20, 54H20, 57M60

Warren Dicks
Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
Email: dicks@mat.uab.es

Jaume Llibre
Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
Email: imat0@cc.uab.es

DOI: 10.1090/S0002-9939-96-03131-0
PII: S 0002-9939(96)03131-0
Received by editor(s): September 22, 1994
Communicated by: Mary Rees
Copyright of article: Copyright 1996, American Mathematical Society

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