On torsion images of Coxeter groups and question of Wiegold

2009/12/14 by R. Grigorchuk, Grigorchuk, R.
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.0912.2758

arxiv created 2009/12/14 · arxiv updated 2010/01/14

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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