Coherence for elementary amenable groups
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909455242756096 |
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| author | Hughes, Sam Kielak, Dawid Kropholler, Peter H. Leary, Ian J. |
| author_facet | Hughes, Sam Kielak, Dawid Kropholler, Peter H. Leary, Ian J. |
| contents | We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_03346 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coherence for elementary amenable groups Hughes, Sam Kielak, Dawid Kropholler, Peter H. Leary, Ian J. Group Theory Rings and Algebras 20F19, 16P70, 20J05, 20J06, 43A07 We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups. |
| title | Coherence for elementary amenable groups |
| topic | Group Theory Rings and Algebras 20F19, 16P70, 20J05, 20J06, 43A07 |
| url | https://arxiv.org/abs/2302.03346 |