Infinite simple characteristic quotients

Journal de l’École polytechnique — Mathématiques 2026 Open access

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Authors: Rémi Coulon, Francesco Fournier-Facio
DOI: 10.5802/jep.352
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Geometric and Algebraic Topology Mathematical Dynamics and Fractals semigroups and automata theory

Publication details

Journal / source
Journal de l’École polytechnique — Mathématiques
Volume
13
Pages
1463–1481
Publication date
24 September 2026
Language
EN