Coherence for elementary amenable groups
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.
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Mathematical Society
2024
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| Summary: | 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. |
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