Denseness results for zeros and roots of unity in character tables
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911066829619200 |
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| author | Miller, Alexander R. |
| author_facet | Miller, Alexander R. |
| contents | For any irreducible character $χ$ of a finite group $G$, let $θ(χ)$ denote the proportion of elements $g\in G$ for which $χ(g)$ is either zero or a root of unity. Then for any $L\in[1/2,1]$ and any $ε>0$, there exists an irreducible character $χ$ of a finite group such that $|θ(χ)-L|<ε$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Denseness results for zeros and roots of unity in character tables Miller, Alexander R. Representation Theory Group Theory For any irreducible character $χ$ of a finite group $G$, let $θ(χ)$ denote the proportion of elements $g\in G$ for which $χ(g)$ is either zero or a root of unity. Then for any $L\in[1/2,1]$ and any $ε>0$, there exists an irreducible character $χ$ of a finite group such that $|θ(χ)-L|<ε$. |
| title | Denseness results for zeros and roots of unity in character tables |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2507.15153 |