Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| author | Busch, Sira Van Maldeghem, Hendrik |
| author_facet | Busch, Sira Van Maldeghem, Hendrik |
| contents | In this article we describe the general and special projectivity groups for all irreducible residues of all thick, irreducible, spherical buildings of type $ \mathsf{B_{n}}$, $ \mathsf{C_{n}}$ and $\mathsf{F_4}$, and rank at least 3. This determines the exact structure and action of Levi subgroups of parabolic subgroups of groups of Lie type related to those buildings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type Busch, Sira Van Maldeghem, Hendrik Group Theory 51E24 (Primary), 20E42 (Secondary) In this article we describe the general and special projectivity groups for all irreducible residues of all thick, irreducible, spherical buildings of type $ \mathsf{B_{n}}$, $ \mathsf{C_{n}}$ and $\mathsf{F_4}$, and rank at least 3. This determines the exact structure and action of Levi subgroups of parabolic subgroups of groups of Lie type related to those buildings. |
| title | Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type |
| topic | Group Theory 51E24 (Primary), 20E42 (Secondary) |
| url | https://arxiv.org/abs/2507.02441 |