Add to ORKGWe exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildings. We obtain the result by studying vanishing and non-vanishing of their $L^2$-Betti numbers.Comment: 17 page
We study the coset covering function $\mathfrak{C}(r)$ of a finitely generated group: the number of ...
We give an algorithm to solve the word problem for Artin groups that do not contain any relations of...
Witzel S, Zaremsky MCB. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND D...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over th...
summary:Let $G$ be a finite group. An element $g\in G$ is called a vanishing element if there exists...
Skipper R, Witzel S, Zaremsky MCB. Simple groups separated by finiteness properties. INVENTIONES MAT...
Let Γ be an arithmetic lattice in an absolutely simple Lie group G with trivial centre. We prove tha...
In 1967, D. Kazhdan defined Property (T) for locally compact groups in terms of unitary representati...
We characterize continuum as the smallest cardinality of a family of compact sets needed to cover a ...
Cataloged from PDF version of article.We classify the sequences hSn j n 2 Ni of nite simple nonabel...
For every non-trivial finite abelian group $A$, we exhibit a bireversible automaton generating the l...
These notes are devoted to lattices in products of trees and related topics. They provide an introdu...
Kac-Moody groups over finite fields are finitely generated groups. Most of them can naturally be vie...
In this paper, we compute the essential l-dimension of the finite groups of classical Lie type for l...
We study the coset covering function $\mathfrak{C}(r)$ of a finitely generated group: the number of ...
We give an algorithm to solve the word problem for Artin groups that do not contain any relations of...
Witzel S, Zaremsky MCB. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND D...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over th...
summary:Let $G$ be a finite group. An element $g\in G$ is called a vanishing element if there exists...
Skipper R, Witzel S, Zaremsky MCB. Simple groups separated by finiteness properties. INVENTIONES MAT...
Let Γ be an arithmetic lattice in an absolutely simple Lie group G with trivial centre. We prove tha...
In 1967, D. Kazhdan defined Property (T) for locally compact groups in terms of unitary representati...
We characterize continuum as the smallest cardinality of a family of compact sets needed to cover a ...
Cataloged from PDF version of article.We classify the sequences hSn j n 2 Ni of nite simple nonabel...
For every non-trivial finite abelian group $A$, we exhibit a bireversible automaton generating the l...
These notes are devoted to lattices in products of trees and related topics. They provide an introdu...
Kac-Moody groups over finite fields are finitely generated groups. Most of them can naturally be vie...
In this paper, we compute the essential l-dimension of the finite groups of classical Lie type for l...
We study the coset covering function $\mathfrak{C}(r)$ of a finitely generated group: the number of ...
We give an algorithm to solve the word problem for Artin groups that do not contain any relations of...
Witzel S, Zaremsky MCB. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND D...