On the Gowers trick for classical simple groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911829829091328 |
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| author | Fumagalli, Francesco Maróti, Attila |
| author_facet | Fumagalli, Francesco Maróti, Attila |
| contents | If $A$, $B$, $C$ are subsets in a finite simple group of Lie type $G$ at least two of which are normal with $|A||B||C|$ relatively large, then we establish a stronger conclusion than $ABC = G$. This is related to a theorem of Gowers and is a generalization of a theorem of Larsen, Shalev, Tiep and the second author and Pyber. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04967 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gowers trick for classical simple groups Fumagalli, Francesco Maróti, Attila Group Theory 20D06, 20D40, 20G05 If $A$, $B$, $C$ are subsets in a finite simple group of Lie type $G$ at least two of which are normal with $|A||B||C|$ relatively large, then we establish a stronger conclusion than $ABC = G$. This is related to a theorem of Gowers and is a generalization of a theorem of Larsen, Shalev, Tiep and the second author and Pyber. |
| title | On the Gowers trick for classical simple groups |
| topic | Group Theory 20D06, 20D40, 20G05 |
| url | https://arxiv.org/abs/2404.04967 |