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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.04549 |
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| _version_ | 1866914450199543808 |
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| author | Tucker, Jakub F. |
| author_facet | Tucker, Jakub F. |
| contents | We define homological area-radius pairs with surface diagrams. Using these, we adapt a proof of Gersten and Short \cite{gersten2002} to obtain a homological isoperimetric inequality for subgroups of type $FP_2$ which appear as kernels of free extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04549 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$ Tucker, Jakub F. Group Theory 20J05 We define homological area-radius pairs with surface diagrams. Using these, we adapt a proof of Gersten and Short \cite{gersten2002} to obtain a homological isoperimetric inequality for subgroups of type $FP_2$ which appear as kernels of free extensions. |
| title | Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$ |
| topic | Group Theory 20J05 |
| url | https://arxiv.org/abs/2604.04549 |