On a question of Wiegold and torsion images of Coxeter groups

• Datum: 2018
• 1. Verfasser: Grigorchuk, Rostislav
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: torsion groups; Coxeter groups; just-infinite groups; branch groups; groups of intermediate growth; 20F50,20F55,20E08
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/798
• Назва журналу: Algebra and Discrete Mathematics

We answer positively a question raised byWiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity can be mapped onto uncountably many infinite 2-groups which, in addition, may...