A counterexample to a conjecture of A. R. Miller
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915548926836736 |
|---|---|
| author | Navarro, Gabriel Sambale, Benjamin |
| author_facet | Navarro, Gabriel Sambale, Benjamin |
| contents | Let $χ$ be an irreducible character of a finite group $G$. A. R. Miller conjectured that the proportion of elements $g\in G$ such that $χ(g)$ is zero or a root of unity is at least 1/2. We construct a character of a perfect group of order 69120 such that this proportion is 511/1152. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A counterexample to a conjecture of A. R. Miller Navarro, Gabriel Sambale, Benjamin Representation Theory Group Theory Let $χ$ be an irreducible character of a finite group $G$. A. R. Miller conjectured that the proportion of elements $g\in G$ such that $χ(g)$ is zero or a root of unity is at least 1/2. We construct a character of a perfect group of order 69120 such that this proportion is 511/1152. |
| title | A counterexample to a conjecture of A. R. Miller |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2510.10734 |