Undistorted purely pseudo-Anosov groups
Mladen Bestvina, Kenneth Bromberg, Richard P. Kent IV, and Christopher, J. Leininger
TL;DR
This paper proves that certain groups called undistorted purely pseudo-Anosov groups are convex cocompact within the mapping class group, enhancing understanding of their geometric properties.
Contribution
It establishes that these groups are convex cocompact in the mapping class group, a significant geometric property not previously confirmed.
Findings
Undistorted purely pseudo-Anosov groups are convex cocompact.
Provides new insights into the geometric structure of these groups.
Advances the understanding of subgroup dynamics in the mapping class group.
Abstract
In this paper we prove that groups as in the title are convex cocompact in the mapping class group.
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