On a question of Wiegold and torsion images of Coxeter groups

dc.contributor.author	Grigorchuk, R.
dc.date.accessioned	2019-06-15T16:09:01Z
dc.date.available	2019-06-15T16:09:01Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 Mathematics Subject Classification:20F50,20F55,20E08.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154495
dc.description.abstract	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 be chosen to be just-infinite, branch groups of intermediate growth.	uk_UA
dc.description.sponsorship	The author expresses his thanks to T. Januszkiewicz, V. Nekrashevych, Z.ˇSuni ́c,and I. Subbotin for their valuable remarks	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On a question of Wiegold and torsion images of Coxeter groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA