A generalization of a result of Hegedüs
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915814069764096 |
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| author | Debón, Sara C. |
| author_facet | Debón, Sara C. |
| contents | A famous result of P. Hegedüs describes the structure of finite rational $\{2,5\}$-groups. In this paper, we show how Hegedüs' proof can be used to obtain a similar result for the more general situation of a finite rational $2$-group acting faithfully and with the eigenvector property on a f.d $\mathbb{F}_p$-vector space with $p\geq 5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20977 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A generalization of a result of Hegedüs Debón, Sara C. Group Theory Representation Theory A famous result of P. Hegedüs describes the structure of finite rational $\{2,5\}$-groups. In this paper, we show how Hegedüs' proof can be used to obtain a similar result for the more general situation of a finite rational $2$-group acting faithfully and with the eigenvector property on a f.d $\mathbb{F}_p$-vector space with $p\geq 5$. |
| title | A generalization of a result of Hegedüs |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2602.20977 |