P. Caprace

activity

20052026

most citedRank rigidity for CAT(0) cube complexes

161 citations · 918 across the 69 of their papers we have counts for

collaborators

75 papers

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

On the Howe--Moore property for automorphism groups of buildings

Pierre-Emmanuel Caprace, Andreas Thom

Let $G$ be a closed type-preserving subgroup of the automorphism group of a thick locally finite building $X$ of finite rank, and assume that $G$ acts Weyl-transitively. We prove t…

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…

math.CO2026

On the self-similarity of rational power series with matrix coefficients

Pierre-Emmanuel Caprace, Justin Vast

Let $p$ be a prime, let $d \geq 1$ be an integer and $A$ be the algebra of square matrices of size $d$ over the field of order $p$ . Let $P, Q \in A [x_{1}, \dots x_{n}]$ be polynomials…

math.GR2026

Center-preserving irreducible representations of finite groups

Pierre-Emmanuel Caprace, Geoffrey Janssens, François Thilmany

Given finite groups $H \leq G$ , a representation $σ$ of $G$ is called center-preserving on $H$ if the only elements of $H$ that become central under $σ$ are those that were already…

math.RT2025

The type I dichotomy for two-step nilpotent locally compact groups

Pierre-Emmanuel Caprace, Max Carter

We address the type I dichotomy for two-step nilpotent locally compact groups. Invoking work of Baggett-Kleppner, we characterize the closed points of the unitary dual of such a gr…