Generalised triangle groups of type (3, q, 2)
If G is a group with a presentation of the form ⟨x, y|x³ = yq = W(x, y)² = 1⟩, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2013 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152259 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalised triangle groups of type (3, q, 2) / J. Howie // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 1–18. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862541747997900800 |
|---|---|
| author | Howie, J. |
| author_facet | Howie, J. |
| citation_txt | Generalised triangle groups of type (3, q, 2) / J. Howie // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 1–18. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | If G is a group with a presentation of the form ⟨x, y|x³ = yq = W(x, y)² = 1⟩, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.
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| first_indexed | 2025-11-24T16:49:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152259 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T16:49:06Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Howie, J. 2019-06-09T13:40:23Z 2019-06-09T13:40:23Z 2013 Generalised triangle groups of type (3, q, 2) / J. Howie // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 1–18. — Бібліогр.: 22 назв. — англ. 1726-3255 2010 MSC:20F05, 20F06, 20E05. https://nasplib.isofts.kiev.ua/handle/123456789/152259 If G is a group with a presentation of the form ⟨x, y|x³ = yq = W(x, y)² = 1⟩, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Generalised triangle groups of type (3, q, 2) Article published earlier |
| spellingShingle | Generalised triangle groups of type (3, q, 2) Howie, J. |
| title | Generalised triangle groups of type (3, q, 2) |
| title_full | Generalised triangle groups of type (3, q, 2) |
| title_fullStr | Generalised triangle groups of type (3, q, 2) |
| title_full_unstemmed | Generalised triangle groups of type (3, q, 2) |
| title_short | Generalised triangle groups of type (3, q, 2) |
| title_sort | generalised triangle groups of type (3, q, 2) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152259 |
| work_keys_str_mv | AT howiej generalisedtrianglegroupsoftype3q2 |