Isoperimetric behavior of generalized Stallings-Bieri groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911151225307136 |
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| author | Brady, Noel Goswami, Pratit Merrell, Rob |
| author_facet | Brady, Noel Goswami, Pratit Merrell, Rob |
| contents | We introduce the notion of $n$-split for an epimorphism from a group to a finite rank free abelian group. This is used to provide bounds for the Dehn functions of certain coabelian subgroups of direct products of finitely presented groups. Such subgroups include and significantly generalize the Stallings-Bieri groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isoperimetric behavior of generalized Stallings-Bieri groups Brady, Noel Goswami, Pratit Merrell, Rob Group Theory 20F65, 20F05, 20F06 We introduce the notion of $n$-split for an epimorphism from a group to a finite rank free abelian group. This is used to provide bounds for the Dehn functions of certain coabelian subgroups of direct products of finitely presented groups. Such subgroups include and significantly generalize the Stallings-Bieri groups. |
| title | Isoperimetric behavior of generalized Stallings-Bieri groups |
| topic | Group Theory 20F65, 20F05, 20F06 |
| url | https://arxiv.org/abs/2509.09939 |