A reduction theorem for the Feit conjecture
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913960339439616 |
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| author | Boltje, Robert Kleshchev, Alexander Navarro, Gabriel Tiep, Pham Huu |
| author_facet | Boltje, Robert Kleshchev, Alexander Navarro, Gabriel Tiep, Pham Huu |
| contents | We prove that if all the simple groups involved in a finite group $G$ satisfy the `inductive Feit condition', then Walter Feit's conjecture from 1980 holds for $G$. In particular, this would solve Brauer's Problem 41 from 1963 in the affirmative. This inductive Feit condition implies that some features of all the irreducible characters of finite groups can be found locally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A reduction theorem for the Feit conjecture Boltje, Robert Kleshchev, Alexander Navarro, Gabriel Tiep, Pham Huu Representation Theory 20C15 (Primary) 20C25, 20C30, 20C33, 20D06 (Secondary) We prove that if all the simple groups involved in a finite group $G$ satisfy the `inductive Feit condition', then Walter Feit's conjecture from 1980 holds for $G$. In particular, this would solve Brauer's Problem 41 from 1963 in the affirmative. This inductive Feit condition implies that some features of all the irreducible characters of finite groups can be found locally. |
| title | A reduction theorem for the Feit conjecture |
| topic | Representation Theory 20C15 (Primary) 20C25, 20C30, 20C33, 20D06 (Secondary) |
| url | https://arxiv.org/abs/2507.19618 |