Multiplicities of fields of values of conjugacy classes in finite groups
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909749134491648 |
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| author | Madrid, Juan Martínez Vergani, Marco |
| author_facet | Madrid, Juan Martínez Vergani, Marco |
| contents | Given a group $G$ we write $h(G)$ to denote the maximum number of times that a field extension of $\mathbb{Q}$ appears as the field of values of a conjugacy class of a group. In this work, we prove that $|G|$ is bounded in terms of $h(G)$. Moreover, we classify the groups with $h(G)\leq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicities of fields of values of conjugacy classes in finite groups Madrid, Juan Martínez Vergani, Marco Group Theory Given a group $G$ we write $h(G)$ to denote the maximum number of times that a field extension of $\mathbb{Q}$ appears as the field of values of a conjugacy class of a group. In this work, we prove that $|G|$ is bounded in terms of $h(G)$. Moreover, we classify the groups with $h(G)\leq 3$. |
| title | Multiplicities of fields of values of conjugacy classes in finite groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2508.16361 |