Finite generation of lattices on products of trees

TL;DR

This paper proves that irreducible lattices acting on products of two or more locally finite, biregular trees are finitely generated, advancing understanding of their algebraic structure.

Contribution

It establishes the finite generation property for irreducible lattices on products of multiple biregular trees, a new result in geometric group theory.

Findings

Irreducible lattices on products of trees are finitely generated.

The result applies to locally finite, biregular trees.

This advances the understanding of lattice structures in geometric group theory.

Abstract

We prove that an irreducible lattice acting on a product of two or more locally finite, biregular trees is finitely generated.