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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.14546 |
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| _version_ | 1866911850671636480 |
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| author | Leary, Ian J. Minasyan, Ashot |
| author_facet | Leary, Ian J. Minasyan, Ashot |
| contents | Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_14546 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A note on torsion length and torsion subgroups Leary, Ian J. Minasyan, Ashot Group Theory 20F99, 20F16 Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented. |
| title | A note on torsion length and torsion subgroups |
| topic | Group Theory 20F99, 20F16 |
| url | https://arxiv.org/abs/2112.14546 |