Quasirandom and quasisimple groups
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918151812284416 |
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| author | Barbieri, Marco Sabatini, Luca |
| author_facet | Barbieri, Marco Sabatini, Luca |
| contents | Fix $\varepsilon > 0$. We say that a finite group $G$ is $\varepsilon$-quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilon$. In this paper, we give a structure theorem for large $\varepsilon$-quasirandom groups, and we completely classify the $\frac{1}{5}$-quasirandom groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05550 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasirandom and quasisimple groups Barbieri, Marco Sabatini, Luca Group Theory Representation Theory Primary: 20D99, 20C99 Fix $\varepsilon > 0$. We say that a finite group $G$ is $\varepsilon$-quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilon$. In this paper, we give a structure theorem for large $\varepsilon$-quasirandom groups, and we completely classify the $\frac{1}{5}$-quasirandom groups. |
| title | Quasirandom and quasisimple groups |
| topic | Group Theory Representation Theory Primary: 20D99, 20C99 |
| url | https://arxiv.org/abs/2404.05550 |