Infinite simple characteristic quotients
We construct continuum many infinite, simple, characteristic quotients of non-abelian free groups, answering a 1978 question of James Wiegold. The method is very flexible, allowing to impose certain properties on the quotients, to generalize the construction to large classes of groups with hyperbolic features, and to produce quasi-isometrically diverse examples.
Authors
- Rémi Coulon (ORCID: https://orcid.org/0000-0003-0233-5974)
- Francesco Fournier-Facio (ORCID: https://orcid.org/0000-0003-0386-2071)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Bourgogne (FR)
- University of Cambridge (GB)
- Institut de Mathématiques de Bourgogne (FR)
- Université Bourgogne Europe (FR)
Publication Details
- Journal
- Journal de l’École polytechnique — Mathématiques
- Published
- 2026-09-24
- DOI
- https://doi.org/10.5802/jep.352
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche