Huppert's Conjecture for finite simple exceptional groups of Lie type
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913564520873984 |
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| author | Tong-Viet, Hung P. |
| author_facet | Tong-Viet, Hung P. |
| contents | Let $G$ be a finite group and let $\textrm{cd}(G)$ be the set of all complex irreducible character degrees of $G.$ In this paper, we show that if $\textrm{cd}(G)=\textrm{cd}(H),$ where $H$ is a finite simple exceptional group of Lie type, then $G\cong H\times A,$ where $A$ is an abelian group. This completes the verification of Huppert's Conjecture for all finite simple exceptional groups of Lie type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Huppert's Conjecture for finite simple exceptional groups of Lie type Tong-Viet, Hung P. Group Theory Representation Theory 20C15 Let $G$ be a finite group and let $\textrm{cd}(G)$ be the set of all complex irreducible character degrees of $G.$ In this paper, we show that if $\textrm{cd}(G)=\textrm{cd}(H),$ where $H$ is a finite simple exceptional group of Lie type, then $G\cong H\times A,$ where $A$ is an abelian group. This completes the verification of Huppert's Conjecture for all finite simple exceptional groups of Lie type. |
| title | Huppert's Conjecture for finite simple exceptional groups of Lie type |
| topic | Group Theory Representation Theory 20C15 |
| url | https://arxiv.org/abs/2405.07422 |