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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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/798 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7982018-04-04T08:49:22Z On a question of Wiegold and torsion images of Coxeter groups Grigorchuk, Rostislav torsion groups, Coxeter groups, just-infinite groups, branch groups, groups of intermediate growth 20F50,20F55,20E08 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/798 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/798/328 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
torsion groups Coxeter groups just-infinite groups branch groups groups of intermediate growth 20F50,20F55,20E08 |
| spellingShingle |
torsion groups Coxeter groups just-infinite groups branch groups groups of intermediate growth 20F50,20F55,20E08 Grigorchuk, Rostislav On a question of Wiegold and torsion images of Coxeter groups |
| topic_facet |
torsion groups Coxeter groups just-infinite groups branch groups groups of intermediate growth 20F50,20F55,20E08 |
| format |
Article |
| author |
Grigorchuk, Rostislav |
| author_facet |
Grigorchuk, Rostislav |
| author_sort |
Grigorchuk, Rostislav |
| title |
On a question of Wiegold and torsion images of Coxeter groups |
| title_short |
On a question of Wiegold and torsion images of Coxeter groups |
| title_full |
On a question of Wiegold and torsion images of Coxeter groups |
| title_fullStr |
On a question of Wiegold and torsion images of Coxeter groups |
| title_full_unstemmed |
On a question of Wiegold and torsion images of Coxeter groups |
| title_sort |
on a question of wiegold and torsion images of coxeter groups |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/798 |
| work_keys_str_mv |
AT grigorchukrostislav onaquestionofwiegoldandtorsionimagesofcoxetergroups |
| first_indexed |
2024-04-12T06:25:50Z |
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2024-04-12T06:25:50Z |
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1796109212088008704 |