4 papers · 1 filter
Torsion-freeness problem for matrix groups
Ruiwen Dong, Emmanuel Rauzy
We establish three results on decision problems for finitely generated matrix groups, based on fiber products: The torsion-freeness problem is undecidable for subgroups o…
A robust family of residually finite groups; spectra of residual finiteness growth, computability properties, and other applications (with an appendix by Arman Darbinyan and Emmanuel Rauzy)
Arman Darbinyan, Emmanuel Rauzy
In this paper, we introduce a family of residually finite groups that helps us to systematically study the residual finiteness growth function (RFG) from various perspectives. Firs…
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…
Obstruction to a Higman embedding theorem for residually finite groups with solvable word problem
Emmanuel Rauzy
We prove that, for a finitely generated residually finite group, having solvable word problem is not a sufficient condition to be a subgroup of a finitely presented residually fini…