Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912918214279168 |
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| author | Böhmler, Bernhard Lassueur, Caroline |
| author_facet | Böhmler, Bernhard Lassueur, Caroline |
| contents | Let $p$ be a prime number. We compute the trivial source character tables of finite Frobenius groups $G$ with an abelian Frobenius complement $H$ and an elementary abelian Frobenius kernel of order $p^2$. More precisely, we deal with all infinite families of such groups which occur in the two extremal cases for the fusion of $p$-subgroups: the case in which there exists exactly one $G$-conjugacy class of non-trivial cyclic $p$-subgroups, and the case in which there exist exactly $p+1$ distinct $G$-conjugacy classes of non-trivial cyclic $p$-subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$ Böhmler, Bernhard Lassueur, Caroline Representation Theory Group Theory 20C15, 20C20 Let $p$ be a prime number. We compute the trivial source character tables of finite Frobenius groups $G$ with an abelian Frobenius complement $H$ and an elementary abelian Frobenius kernel of order $p^2$. More precisely, we deal with all infinite families of such groups which occur in the two extremal cases for the fusion of $p$-subgroups: the case in which there exists exactly one $G$-conjugacy class of non-trivial cyclic $p$-subgroups, and the case in which there exist exactly $p+1$ distinct $G$-conjugacy classes of non-trivial cyclic $p$-subgroups. |
| title | Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$ |
| topic | Representation Theory Group Theory 20C15, 20C20 |
| url | https://arxiv.org/abs/2403.14571 |