144 citations · 600 across the 40 of their papers we have counts for
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math.GR2012★ 14 cited
On equivariant embeddings of generalized Baumslag-Solitar groups
Yves Cornulier, Alain Valette
Let G be a group acting cocompactly without inversion on a tree X, with all vertex and edge stabilizers isomorphic to the same free abelian group Z^n. We prove that G has the Haage…
math.GR2012★ 4 cited
Semisimple Zariski closure of Coxeter groups
Yves de Cornulier
Let W be an irreducible, finitely generated Coxeter group. The geometric representation provides an discrete embedding in the orthogonal group of the so-called Tits form. One can l…
math.GR2012★ 13 cited
Dehn function and asymptotic cones of Abels' group
Yves Cornulier, Romain Tessera
We prove that Abels' group over an arbitrary nondiscrete locally compact field has a quadratic Dehn function. As applications, we exhibit connected Lie groups and polycyclic groups…