Automorphisms and opposition in spherical buildings of exceptional type, IV: The $E_7$ case
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916117468938240 |
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| author | Neyt, Yannick Parkinson, James Van Maldeghem, Hendrik Victoor, Magali |
| author_facet | Neyt, Yannick Parkinson, James Van Maldeghem, Hendrik Victoor, Magali |
| contents | An automorphism of a spherical building is called \textit{domestic} if it maps no chamber onto an opposite chamber. This paper forms a significant part of a large project classifying domestic automorphisms of spherical buildings of exceptional type. In previous work the classifications for $\mathsf{G}_2$, $\mathsf{F}_4$ and $\mathsf{E}_6$ have been completed, and the present work provides the classification for buildings of type $\mathsf{E}_7$. In many respects this case is the richest amongst all exceptional types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphisms and opposition in spherical buildings of exceptional type, IV: The $E_7$ case Neyt, Yannick Parkinson, James Van Maldeghem, Hendrik Victoor, Magali Group Theory An automorphism of a spherical building is called \textit{domestic} if it maps no chamber onto an opposite chamber. This paper forms a significant part of a large project classifying domestic automorphisms of spherical buildings of exceptional type. In previous work the classifications for $\mathsf{G}_2$, $\mathsf{F}_4$ and $\mathsf{E}_6$ have been completed, and the present work provides the classification for buildings of type $\mathsf{E}_7$. In many respects this case is the richest amongst all exceptional types. |
| title | Automorphisms and opposition in spherical buildings of exceptional type, IV: The $E_7$ case |
| topic | Group Theory |
| url | https://arxiv.org/abs/2402.04323 |