English

Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type

Group Theory 2025-07-04 v1

Abstract

In this article we describe the general and special projectivity groups for all irreducible residues of all thick, irreducible, spherical buildings of type Bn \mathsf{B_{n}}, Cn \mathsf{C_{n}} and F4\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.

Keywords

Cite

@article{arxiv.2507.02441,
  title  = {Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type},
  author = {Sira Busch and Hendrik Van Maldeghem},
  journal= {arXiv preprint arXiv:2507.02441},
  year   = {2025}
}

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39 pages