Counting lifts of irreducible Brauer characters
Fuente:
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_ | 1866915144391458816 |
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| author | Zhang, Junwei Chang, Xuewu Jin, Ping |
| author_facet | Zhang, Junwei Chang, Xuewu Jin, Ping |
| contents | Let $p$ be an odd prime, and suppose that $G$ is a $p$-solvable group and $φ\in {\rm IBr}(G)$ has vertex $Q$. In 2011, Cossey, Lewis and Navarro proved that the number of lifts of $φ$ is at most $|Q:Q'|$ whenever $Q$ is normal in $G$. In this paper, we present an explicit description of the set of lifts of $φ$ with a given vertex pair $(Q,δ)$ under a weaker condition on $Q$, and thus generalize their result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting lifts of irreducible Brauer characters Zhang, Junwei Chang, Xuewu Jin, Ping Group Theory 20C20 Let $p$ be an odd prime, and suppose that $G$ is a $p$-solvable group and $φ\in {\rm IBr}(G)$ has vertex $Q$. In 2011, Cossey, Lewis and Navarro proved that the number of lifts of $φ$ is at most $|Q:Q'|$ whenever $Q$ is normal in $G$. In this paper, we present an explicit description of the set of lifts of $φ$ with a given vertex pair $(Q,δ)$ under a weaker condition on $Q$, and thus generalize their result. |
| title | Counting lifts of irreducible Brauer characters |
| topic | Group Theory 20C20 |
| url | https://arxiv.org/abs/2502.05771 |