Equations with constants in some hyperbolic and linear groups

Henry Bradford (U Cambridge)

Jul 18. 2023, 11:17 — 11:27

Let $G$ be a torsion-free nonelementary Gromov hyperbolic group and let $X$ be a finite set. For any nontrivial element $w$ of the free product $G \ast F(X)$, there exists an element $g$ of $G^X$ such that $w(g)$ is nontrivial in $G$. We investigate the problem of estimating the minimal word-length of such an element $g$, in terms of the word-length of $w$.

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)