Odd-degree rational characters and the order of rational elements in finite groups
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914805490647040 |
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| author | Grittini, N. |
| author_facet | Grittini, N. |
| contents | We prove that, in a finite group, if every rational irreducible character has odd degree, then all rational elements are 2-elements, as it was originally conjectured by Tiep and Tong-Viet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08534 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Odd-degree rational characters and the order of rational elements in finite groups Grittini, N. Group Theory 20C15 We prove that, in a finite group, if every rational irreducible character has odd degree, then all rational elements are 2-elements, as it was originally conjectured by Tiep and Tong-Viet. |
| title | Odd-degree rational characters and the order of rational elements in finite groups |
| topic | Group Theory 20C15 |
| url | https://arxiv.org/abs/2307.08534 |