J. Vast

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math.GR2026

Fractal anti-tori

Pierre-Emmanuel Caprace, Justin Vast

Let $Γ$ be a group acting properly and cocompactly on the product of two trees $T_{1}$ and $T_{2}$ . An anti-torus is a non-periodic flat plane in $T_{1} \times T_{2}$ that is the convex hu…

math.GR2026

Ascending chains of irreducible lattices, bi-reversible automata and affine arithmetic groups

Pierre-Emmanuel Caprace, Justin Vast

For each $n \geq 2$ , we construct an ascending chain of irreducible lattices in the product of $n$ homogeneous trees. Moreover, for each pair of integers $m_{1}, m_{2} \geq 1$ , we defi…