Groups, Geometry, and Dynamics


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Volume 11, Issue 4, 2017, pp. 1377–1399
DOI: 10.4171/GGD/432

Published online: 2017-12-07

On exceptional homogeneous compact geometries of type $\mathsf C_3$

Jeroen Schillewaert[1] and Koen Struyve[2]

(1) University of Auckland, New Zealand
(2) Ghent University, Belgium

We provide a uniform framework to study the exceptional homogeneous compact geometries of type $\mathsf C_3$. This framework is then used to show that these are simply connected, answering a question by Kramer and Lytchak, and to calculate the full automorphism groups.

Keywords: Compact geometries, composition algebras, diagram geometries

Schillewaert Jeroen, Struyve Koen: On exceptional homogeneous compact geometries of type $\mathsf C_3$. Groups Geom. Dyn. 11 (2017), 1377-1399. doi: 10.4171/GGD/432