# Diophantine Estimates on Automorphism Groups of Infinite Regular Trees

**Source**: https://urss.warwick.ac.uk/items/show/1048
**Parent**: https://urss.warwick.ac.uk/items/browse

### Title

Diophantine Estimates on Automorphism Groups of Infinite Regular Trees

### Subject

Group Theory, Probability

### Date

2025

### Contributor

Timucin Oisin Gunaydin

### Abstract

We prove a weaker version of the Diophantine property for the automorphism group of an infinite regular rooted tree of degree $d\geq 3$.

### Meta Tags

Diophantine Approximation, Group Theory, Profinite Groups

### Files

### Collection

[Social Sciences](https://urss.warwick.ac.uk/collections/show/1)

### Citation

Tim Gunaydin, “Diophantine Estimates on Automorphism Groups of Infinite Regular Trees,” *URSS SHOWCASE*, accessed March 16, 2026, https://urss.warwick.ac.uk/items/show/1048.

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