On One-relator products induced by generalised triangle groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866912483081453568 |
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| author | Chinyere, Ihechukwu Howie, James |
| author_facet | Chinyere, Ihechukwu Howie, James |
| contents | In this paper we study a group G which is the quotient of a free product of groups by the normal closure of a word that is contained in a in a subgroup which has the form of a generalised triangle group.
We use known properties of generalised triangle groups, together with detailed analyses of pictures and of words in free monoids, to prove a number of results such as a Freiheitssatz and the existence of Mayer-Vietoris sequences for such groups under suitable hypotheses. The hypotheses are weaker than those in an earlier article of Howie and Shwartz, yielding generalisations in two directions of the results in that article. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1505_06094 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On One-relator products induced by generalised triangle groups Chinyere, Ihechukwu Howie, James Group Theory 20F65, 20F05, 20F06 In this paper we study a group G which is the quotient of a free product of groups by the normal closure of a word that is contained in a in a subgroup which has the form of a generalised triangle group. We use known properties of generalised triangle groups, together with detailed analyses of pictures and of words in free monoids, to prove a number of results such as a Freiheitssatz and the existence of Mayer-Vietoris sequences for such groups under suitable hypotheses. The hypotheses are weaker than those in an earlier article of Howie and Shwartz, yielding generalisations in two directions of the results in that article. |
| title | On One-relator products induced by generalised triangle groups |
| topic | Group Theory 20F65, 20F05, 20F06 |
| url | https://arxiv.org/abs/1505.06094 |