On Dehn functions for family of polycyclic groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918040457707520 |
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| author | Gongopadhyay, Krishnendu Kundu, Lokenath |
| author_facet | Gongopadhyay, Krishnendu Kundu, Lokenath |
| contents | In this note, we initiate the concept of Dehn functions for a family of finite groups. We investigate the Dehn function for some specific families of finite polycyclic groups. We also consider related notions of spherical Dehn function and mean Dehn function for family of finite simple cyclic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Dehn functions for family of polycyclic groups Gongopadhyay, Krishnendu Kundu, Lokenath Group Theory Primary 20F65, Secondary 05E16, 20E07 In this note, we initiate the concept of Dehn functions for a family of finite groups. We investigate the Dehn function for some specific families of finite polycyclic groups. We also consider related notions of spherical Dehn function and mean Dehn function for family of finite simple cyclic groups. |
| title | On Dehn functions for family of polycyclic groups |
| topic | Group Theory Primary 20F65, Secondary 05E16, 20E07 |
| url | https://arxiv.org/abs/2403.16096 |