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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2308.13043 |
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| _version_ | 1866914665504702464 |
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| author | Dey, Anakin O'Neal, Kolton Tran, Duc Van Khanh Upshur, Camron Yang, Yong |
| author_facet | Dey, Anakin O'Neal, Kolton Tran, Duc Van Khanh Upshur, Camron Yang, Yong |
| contents | Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $Ω$.
Let $G_0$ be the stabilizer of a point $α\in Ω$
The rank of $G$ is defined as the number of orbits of $G_0$ in $Ω$, including the trivial orbit $\{α\}$.
In this paper, we completely classify the cases where $G$ has rank 5 and 6, continuing the previous works on classifying groups of rank 4 or lower. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13043 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classifying Primitive Solvable Permutation Groups of Rank 5 and 6 Dey, Anakin O'Neal, Kolton Tran, Duc Van Khanh Upshur, Camron Yang, Yong Group Theory Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $Ω$. Let $G_0$ be the stabilizer of a point $α\in Ω$ The rank of $G$ is defined as the number of orbits of $G_0$ in $Ω$, including the trivial orbit $\{α\}$. In this paper, we completely classify the cases where $G$ has rank 5 and 6, continuing the previous works on classifying groups of rank 4 or lower. |
| title | Classifying Primitive Solvable Permutation Groups of Rank 5 and 6 |
| topic | Group Theory |
| url | https://arxiv.org/abs/2308.13043 |