Torsion images of Coxeter groups and the Wiegold problem

Jeudi 24 juin 2010 14:00-15:00 - Grigorchuk Rotislav - Texas A&M University

Résumé : 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. There is uncountably many such quotients up to quasi-isometry.
Also we answer in affirmative to the question raised by Wiegold in Kourovka Notebook.

Lieu : bât. 425 - 121-123

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