The order of periodic elements of Teichmüller modular groups
Fujikawa, Ege
Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 45-51 / Harvested from Project Euclid
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We consider a quasiconformal automorphism of a Riemann surface, which fixes the homotopy class of a simple closed geodesic. Under certain conditions on the injectivity radius of the surface and bounds on the dilatation of the map, the automorphism induces a periodic element of the Teichmüller modular group. We may also estimate the order of the period.
Publié le : 2005-03-14
Classification:  30F60,  30C62 
@article{1113234833,
     author = {Fujikawa, Ege},
     title = {The order of periodic elements of Teichm\"uller modular groups},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 45-51},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113234833}
}

Fujikawa, Ege. The order of periodic elements of Teichmüller modular groups. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  45-51. http://gdmltest.u-ga.fr/item/1113234833/