On a question of Wiegold and torsion images of Coxeter groups

Rostislav Grigorchuk


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 be chosen to be just-infinite, branch groups of intermediate growth.


torsion groups, Coxeter groups, just-infinite groups, branch groups, groups of intermediate growth

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