Geodesic
Normal all pseudo-Anosov subgroups of mapping class groups
Whittlesey, Kim1
1 Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, USA
Geometry & topology, Tome 4 (2000) no. 1, pp. 293-307.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We construct the first known examples of nontrivial, normal, all pseudo-Anosov subgroups of mapping class groups of surfaces. Specifically, we construct such subgroups for the closed genus two surface and for the sphere with five or more punctures. Using the branched covering of the genus two surface over the sphere and results of Birman and Hilden, we prove that a reducible mapping class of the genus two surface projects to a reducible mapping class on the sphere with six punctures. The construction introduces “Brunnian” mapping classes of the sphere, which are analogous to Brunnian links.

DOI : 10.2140/gt.2000.4.293
Keywords: mapping class group, pseudo-Anosov, Brunnian

Whittlesey, Kim 1

1 Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, USA 
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Whittlesey, Kim. Normal all pseudo-Anosov subgroups of mapping class groups. Geometry & topology, Tome 4 (2000) no. 1, pp. 293-307. doi : 10.2140/gt.2000.4.293. http://geodesic.mathdoc.fr/articles/10.2140/gt.2000.4.293/

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