On permutation characters of finite group
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912987173879808 |
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| author | Lu, Jiakuan Meng, hangyang |
| author_facet | Lu, Jiakuan Meng, hangyang |
| contents | Let $G$ be a finite group and \( M \) be a maximal subgroup of \( G \). We call every irreducible constituent \( χ\) of \( (1_M)^G \) a \( \mathcal{P} \)-character of \( G \) with respect to \( M \). In this paper, we prove that all $\mathcal{P}$-characters of $G$ are monomial if and only if $G$ is solvable, which solves a question posed by Qian and Yang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20171 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On permutation characters of finite group Lu, Jiakuan Meng, hangyang Group Theory 20D20 Let $G$ be a finite group and \( M \) be a maximal subgroup of \( G \). We call every irreducible constituent \( χ\) of \( (1_M)^G \) a \( \mathcal{P} \)-character of \( G \) with respect to \( M \). In this paper, we prove that all $\mathcal{P}$-characters of $G$ are monomial if and only if $G$ is solvable, which solves a question posed by Qian and Yang. |
| title | On permutation characters of finite group |
| topic | Group Theory 20D20 |
| url | https://arxiv.org/abs/2511.20171 |