Counting pseudo-Anosov mapping classes on the 3-punctured projective plane

Autor:	Błażej Szepietowski
Rok vydání:	2014
Předmět:	Pure mathematics General Mathematics Mathematical analysis Generating set of a group Mapping class group nonorientable surface growth functions Projective plane Ball (mathematics) Mathematics::Geometric Topology Mapping class group Mathematics Word metric
Zdroj:	Volume: 38, Issue: 3 524-534 Turkish Journal of Mathematics
ISSN:	1303-6149 1300-0098
Popis:	We prove that in the pure mapping class group of the 3-punctured projective plane equipped with the word metric induced by certain generating set, the ratio of the number of pseudo-Anosov elements to the number of all elements in a ball centered at the identity tends to one, as the radius of the ball tends to infinity. We also compute growth functions of the sets of reducible and pseudo-Anosov elements.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00c1625f5bfc5d27fcea3487c4519c76 https://doi.org/10.3906/mat-1211-7 Zobrazit plný text záznamu Plný text ve formátu PDF