English

A new family of sofic one-relator groups

Group Theory 2025-02-10 v1

Abstract

We provide an infinite family of sofic one-relator groups that are not residually solvable nor residually finite. The proof is essentially different from the one in [1], as it does not require just Magnus' decompositions.

Keywords

Cite

@article{arxiv.2502.05064,
  title  = {A new family of sofic one-relator groups},
  author = {Federico Berlai},
  journal= {arXiv preprint arXiv:2502.05064},
  year   = {2025}
}

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R2 v1 2026-06-28T21:36:25.071Z