Growth and cogrowth of normal subgroups of a free group
Dynamical Systems
2015-12-15 v1
Abstract
We give a sufficient condition for a sequence of normal subgroups of a free group to have the property that both, their growths tend to the upper bound and their cogrowths tend to the lower bound. The condition is represented by planarity of the quotient graphs of the tree.
Cite
@article{arxiv.1512.04237,
title = {Growth and cogrowth of normal subgroups of a free group},
author = {Johannes Jaerisch and Katsuhiko Matsuzaki},
journal= {arXiv preprint arXiv:1512.04237},
year = {2015}
}