Lifts of Brauer characters in characteristic two, II
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916647203241984 |
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| author | Zhang, Junwei Chang, Xuewu Jin, Ping Wang, Lei |
| author_facet | Zhang, Junwei Chang, Xuewu Jin, Ping Wang, Lei |
| contents | In 2007, J. P. Cossey conjectured that if $G$ is a finite $p$-solvable group and $φ$ is an irreducible Brauer character of $G$ with vertex $Q$, then the number of lifts of $φ$ is at most $|Q:Q'|$. In this paper we revisited Cossey's conjecture for $p=2$ from the perspective of Navarro vertices and obtained a new way to count the number of lifts of $φ$. Some applications were given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lifts of Brauer characters in characteristic two, II Zhang, Junwei Chang, Xuewu Jin, Ping Wang, Lei Group Theory 20C20, 20C15 In 2007, J. P. Cossey conjectured that if $G$ is a finite $p$-solvable group and $φ$ is an irreducible Brauer character of $G$ with vertex $Q$, then the number of lifts of $φ$ is at most $|Q:Q'|$. In this paper we revisited Cossey's conjecture for $p=2$ from the perspective of Navarro vertices and obtained a new way to count the number of lifts of $φ$. Some applications were given. |
| title | Lifts of Brauer characters in characteristic two, II |
| topic | Group Theory 20C20, 20C15 |
| url | https://arxiv.org/abs/2503.06429 |