Geodesic
On a~question of Wiegold and torsion images of~Coxeter~groups
Algebra and discrete mathematics, no. 4 (2009), pp. 78-96

Voir la notice de l'article provenant de la source Math-Net.Ru

We answer positively a question raised by Wiegold 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.
Keywords: Coxeter groups, just-infinite groups, branch groups, groups of intermediate growth.
Mots-clés : torsion groups 
@article{ADM_2009_4_a7,
     author = {Rostislav Grigorchuk},
     title = {On a~question of {Wiegold} and torsion images {of~Coxeter~groups}},
     journal = {Algebra and discrete mathematics},
     pages = {78--96},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_4_a7/}
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Rostislav Grigorchuk. On a~question of Wiegold and torsion images of~Coxeter~groups. Algebra and discrete mathematics, no. 4 (2009), pp. 78-96. http://geodesic.mathdoc.fr/item/ADM_2009_4_a7/