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math.GR2024
Equations in wreath products
Laurent Bartholdi, Ruiwen Dong, Leon Pernak +1
We survey solvability of equations in wreath products of groups, and prove that the quadratic diophantine problem is solvable in wreath products of Abelian groups. We consider the…
math.GR2024
Groups with presentations in EDT0L
Laurent Bartholdi, Leon Pernak, Emmanuel Rauzy
To any family of languages LAN, let us associate the class, denoted , of finitely generated groups that admit a group presentation whose set of relators forms a lang…
math.GR2023
The domino problem for hyperbolic groups
Laurent Bartholdi
We prove, for every non-virtually free hyperbolic group , that there is no algorithm that, given a finite collection of dominoes, determines whether the Cayley graph of may…