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

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69 papers · 1 filter

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.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.GR2024

Amalgams of rational unipotent groups and residual nilpotence

Pierre-Emmanuel Caprace, Timothée Marquis

We provide sufficient conditions for a free amalgamated product of torsionfree nilpotent groups to be residually nilpotent. We also characterise the residual nilpotence of certain…

math.GR2024

Lattice envelopes of right-angled Artin groups

Pierre-Emmanuel Caprace, Tom De Medts

Let $Γ$ be a finite simplicial graph with at least two vertices, and let $G (Γ)$ be the associated right-angled Artin group. We describe a locally compact group $U$ contain…