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Algebra and Discrete Mathematics, 2009, выпуск 4, страницы 78–96
(Mi adm145)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
RESEARCH ARTICLE
On a question of Wiegold and torsion images of Coxeter groups
Rostislav Grigorchuk Department of Mathematics, Mailstop 3368 Texas A&M University College Station, TX 77843–3368, USA
Аннотация:
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.
Ключевые слова:
torsion groups, Coxeter groups, just-infinite groups, branch groups, groups of intermediate growth.
Поступила в редакцию: 25.11.2009 Исправленный вариант: 15.12.2009
Образец цитирования:
Rostislav Grigorchuk, “On a question of Wiegold and torsion images of Coxeter groups”, Algebra Discrete Math., 2009, no. 4, 78–96
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm145 https://www.mathnet.ru/rus/adm/y2009/i4/p78
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Страница аннотации: | 220 | PDF полного текста: | 87 | Первая страница: | 1 |
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