A new family of sofic one-relator groups
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.
Authors
- Federico Berlai (ORCID: https://orcid.org/0000-0001-9990-8120)
Institutions
- University of the Basque Country (ES)
Publication Details
- Journal
- International Journal of Algebra and Computation
- Published
- 2025-10-10
- DOI
- https://doi.org/10.1142/s0218196725500444
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00