Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1211-7
Keywords
Mapping class group, nonorientable surface, growth functions
First Page
524
Last Page
534
Recommended Citation
SZEPIETOWSKI, B (2014). Counting pseudo-Anosov mapping classes on the 3-punctured projective plane. Turkish Journal of Mathematics 38 (3): 524-534. https://doi.org/10.3906/mat-1211-7
