Partial Dehn twists of free groups relative to local Dehn twists - a dichotomy
Group Theory
2016-05-17 v1 Combinatorics
Abstract
A criterion for quadratic or higher growth of group automorphisms is established which are represented by graph-of-groups automorphisms with certain well specified properties. As a consequence, it is derived (using results of a previous paper of the author) that every partial Dehn twist automorphism of relative to local Dehn twist automorphisms is either an honest Dehn twist automorphism, or else has quadratic growth.
Keywords
Cite
@article{arxiv.1605.04479,
title = {Partial Dehn twists of free groups relative to local Dehn twists - a dichotomy},
author = {Kaidi Ye},
journal= {arXiv preprint arXiv:1605.04479},
year = {2016}
}