A note on finiteness properties of graphs of groups
We show that if G is of type \mathcal {F}_n, and G splits as a finite graph of groups, then the vertex groups are of type \mathcal {F}_n if the edge groups are of type \mathcal {F}_n.
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| Published in: | Proceedings of the American Mathematical Society. Series B Vol. 8; no. 11; pp. 121 - 128 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
23-03-2021
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | We show that if G is of type \mathcal {F}_n, and G splits as a finite graph of groups, then the vertex groups are of type \mathcal {F}_n if the edge groups are of type \mathcal {F}_n. |
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| ISSN: | 2330-1511 2330-1511 |
| DOI: | 10.1090/bproc/81 |