On the structure of groups defined by Kim and Manturov
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918107993341952 |
|---|---|
| author | Nyberg-Brodda, Carl-Fredrik Sakasai, Takuya Tadokoro, Yuuki Tanaka, Kokoro |
| author_facet | Nyberg-Brodda, Carl-Fredrik Sakasai, Takuya Tadokoro, Yuuki Tanaka, Kokoro |
| contents | We study the structure of a series of groups $Γ_n^4$ defined by Kim and Manturov. We show that the groups are finite for all $n \ge 6$ and in fact they are 2-step nilpotent $2$-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08050 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the structure of groups defined by Kim and Manturov Nyberg-Brodda, Carl-Fredrik Sakasai, Takuya Tadokoro, Yuuki Tanaka, Kokoro Group Theory Geometric Topology Primary 20D15, Secondary 20F14, 57M27 We study the structure of a series of groups $Γ_n^4$ defined by Kim and Manturov. We show that the groups are finite for all $n \ge 6$ and in fact they are 2-step nilpotent $2$-groups. |
| title | On the structure of groups defined by Kim and Manturov |
| topic | Group Theory Geometric Topology Primary 20D15, Secondary 20F14, 57M27 |
| url | https://arxiv.org/abs/2506.08050 |