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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862618179302326272 |
|---|---|
| author | Grigorchuk, R. |
| author_facet | Grigorchuk, R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T13:12:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154495 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:12:55Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Grigorchuk, R. 2019-06-15T16:09:01Z 2019-06-15T16:09:01Z 2009 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. 1726-3255 2010 Mathematics Subject Classification:20F50,20F55,20E08. https://nasplib.isofts.kiev.ua/handle/123456789/154495 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. The author expresses his thanks to T. Januszkiewicz, V. Nekrashevych, Z.ˇSuni ́c,and I. Subbotin for their valuable remarks en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On a question of Wiegold and torsion images of Coxeter groups Article published earlier |
| spellingShingle | On a question of Wiegold and torsion images of Coxeter groups Grigorchuk, R. |
| title | 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_short | On a question of Wiegold and torsion images of Coxeter groups |
| title_sort | on a question of wiegold and torsion images of coxeter groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154495 |
| work_keys_str_mv | AT grigorchukr onaquestionofwiegoldandtorsionimagesofcoxetergroups |