Infinite simple characteristic quotients - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Infinite simple characteristic quotients

Résumé

We construct uncountably 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, and to generalize the construction to large classes of groups with hyperbolic features.

Dates et versions

hal-04360626 , version 1 (21-12-2023)

Identifiants

Citer

Rémi Coulon, Francesco Fournier-Facio. Infinite simple characteristic quotients. 2023. ⟨hal-04360626⟩
21 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More