The continuity of $p$-rationality of characters and the principal block
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913622026878976 |
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| author | Malle, Gunter Martínez, J. Miquel Vallejo, Carolina |
| author_facet | Malle, Gunter Martínez, J. Miquel Vallejo, Carolina |
| contents | We study rationality properties of irreducible characters of finite groups. We show that the continuity of $2$-rationality is a phenomenon that can be detected in the principal $2$-block, thus refining a recent result of N. N. Hung. We also propose a conjectural group theoretical criterion for the continuity gap at level $1$ for all primes |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The continuity of $p$-rationality of characters and the principal block Malle, Gunter Martínez, J. Miquel Vallejo, Carolina Representation Theory Group Theory 20C15, 20C33 We study rationality properties of irreducible characters of finite groups. We show that the continuity of $2$-rationality is a phenomenon that can be detected in the principal $2$-block, thus refining a recent result of N. N. Hung. We also propose a conjectural group theoretical criterion for the continuity gap at level $1$ for all primes |
| title | The continuity of $p$-rationality of characters and the principal block |
| topic | Representation Theory Group Theory 20C15, 20C33 |
| url | https://arxiv.org/abs/2412.16128 |