## On anticonformal automorphisms of Riemann surfaces with nonembeddable square

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- by Antonio F. Costa PDF
- Proc. Amer. Math. Soc.
**124**(1996), 601-605 Request permission

## Abstract:

In this paper we present an example of an anticonformal automorphism whose square has prime order and is not embeddable. We prove that every embeddable automorphism of odd order of a compact Riemann surface is the square of an orientation-reversing self-homeomorphism. Finally we study whether a conformal involution is the square of an orientation-reversing automorphism.## References

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## Additional Information

**Antonio F. Costa**- MR Author ID: 51935
- ORCID: 0000-0002-9905-0264
- Email: antonio.costa@uned.es
- Received by editor(s): December 30, 1993
- Received by editor(s) in revised form: April 29, 1994, and September 16, 1994
- Additional Notes: The author was partially supported by DGICYT PB 92-0716 and EU project CHRX-CT93-408.
- Communicated by: Albert Baernstein II
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**124**(1996), 601-605 - MSC (1991): Primary 30F99
- DOI: https://doi.org/10.1090/S0002-9939-96-03066-3
- MathSciNet review: 1301491