On torsion images of Coxeter groups and question of Wiegold

Details On torsion images of Coxeter groups and question of Wiegold On torsion images of Coxeter groups and question of Wiegold

2009-12-14

arxiv.org/abs/0912.2758v1

Mathematics

Group Theory

Scientific paper

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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