# On Farber sequences in locally compact groups

## TL;DR

This paper proves that sequences of lattices in a fixed locally compact group, satisfying conditions from the Stuck-Zimmer theorem, are Farber, advancing understanding of lattice properties in such groups.

## Contribution

It establishes that certain lattice sequences are Farber, linking the Stuck-Zimmer theorem to Farber sequences in locally compact groups.

## Key findings

- Sequences of lattices satisfying Stuck-Zimmer conditions are Farber.
- Provides new connections between lattice properties and Farber sequences.
- Enhances understanding of lattice behavior in locally compact groups.

## Abstract

We will prove that any sequence of lattices in a fixed locally compact group which satisfy the conclusion of the Stuck-Zimmer theorem is Farber.