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arXiv · 0912.2758

On torsion images of Coxeter groups and question of Wiegold

R. Grigorchuk
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Abstract

We 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. Also we answer affirmatively a question raised by Wiegold in Kourovka Notebook.

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R. Grigorchuk. 2009-12-14. On torsion images of Coxeter groups and question of Wiegold. https://arxiv.org/abs/0912.2758

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