ON ANTICONFORMAL AUTOMORPHISMS OF RIEMANN SURFACES WITH NONEMBEDDABLESQUARE

Authors
COSTA AF
Citation
Af. Costa, ON ANTICONFORMAL AUTOMORPHISMS OF RIEMANN SURFACES WITH NONEMBEDDABLESQUARE, Proceedings of the American Mathematical Society, 124(2), 1996, pp. 601-605
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
2
Year of publication
1996
Pages
601 - 605
Database
ISI
SICI code
0002-9939(1996)124:2<601:OAAORS>2.0.ZU;2-K
Abstract
In this paper we present an example of an anticonformal automorphism w hose 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-r eversing automorphism.