Abstract
We prove the set of growth-rates of subgroups of a rank r free group
is dense in [1, 2r−1]. Our main technical contribution is a concentration result for
the leading eigenvalue of the non-backtracking matrix in the configuration model
is dense in [1, 2r−1]. Our main technical contribution is a concentration result for
the leading eigenvalue of the non-backtracking matrix in the configuration model
| Original language | English |
|---|---|
| Number of pages | 37 |
| Journal | arxiv.org |
| State | In preparation - 10 Apr 2024 |