On a question of Wiegold and torsion images of Coxeter groups
We answer positively a question raised byWiegold 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...
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Date: | 2009 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2009
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154495 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | On a question of Wiegold and torsion images of Coxeter groups / R. Grigorchuk// Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 78–96. — Бібліогр.: 49 назв. — англ. |