On almost $p$-rational characters in principal blocks
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914950310526976 |
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| author | Maróti, Attila Martínez, J. Miquel Fry, A. A. Schaeffer Vallejo, Carolina |
| author_facet | Maróti, Attila Martínez, J. Miquel Fry, A. A. Schaeffer Vallejo, Carolina |
| contents | Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order divisible by p. We further describe the p-local structure of the groups for which the above-mentioned bound is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On almost $p$-rational characters in principal blocks Maróti, Attila Martínez, J. Miquel Fry, A. A. Schaeffer Vallejo, Carolina Representation Theory Group Theory 20C15, 20C20 Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order divisible by p. We further describe the p-local structure of the groups for which the above-mentioned bound is sharp. |
| title | On almost $p$-rational characters in principal blocks |
| topic | Representation Theory Group Theory 20C15, 20C20 |
| url | https://arxiv.org/abs/2401.09224 |