Non-triviality of some one-relator products of three groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866918091613536256 |
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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 three non-trivial groups by the normal closure of a single element. In particular we show that if the relator has length at most eight, then G is non-trivial. In the case where the factors are cyclic, we prove the stronger result that at least one of the factors embeds in G. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_02717 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Non-triviality of some one-relator products of three groups Chinyere, Ihechukwu Howie, James Group Theory 20F05, 20F06 In this paper we study a group G which is the quotient of a free product of three non-trivial groups by the normal closure of a single element. In particular we show that if the relator has length at most eight, then G is non-trivial. In the case where the factors are cyclic, we prove the stronger result that at least one of the factors embeds in G. |
| title | Non-triviality of some one-relator products of three groups |
| topic | Group Theory 20F05, 20F06 |
| url | https://arxiv.org/abs/1509.02717 |