Year: 2025
Type: article
Abstract: In this paper, we provide an infinite family of sofic one-relator groups that are not residually finite nor residually solvable. The proof is essentially different from the one in [J. P. Bannon, A non-residually solvable hyperlinear one-relator group, Proc. Amer. Math. Soc. 139(4) (2011) 1409–1410] as it does not use Magnus–Moldavanskii decompositions.
Author: Federico Berlai
Institution: University of the Basque Country
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5078045869
OpenAlex ID: W4415013241