Geodesic
On exceptional homogeneous compact geometries of type $\mathsf C_3$
Jeroen Schillewaert1 orcid ; Koen Struyve2
1University of Auckland, New Zealand
2Ghent University, Belgium
Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1377-1399

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DOI

We provide a uniform framework to study the exceptional homogeneous compact geometries of type C3​. 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.
DOI : 10.4171/ggd/432
Classification : 51-XX, 57-XX
Mots-clés : Compact geometries, composition algebras, diagram geometries

Jeroen Schillewaert  1   ; Koen Struyve  2

1 University of Auckland, New Zealand
2 Ghent University, Belgium 
Jeroen Schillewaert; Koen Struyve. On exceptional homogeneous compact geometries of type $\mathsf C_3$. Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1377-1399. doi: 10.4171/ggd/432
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     author = {Jeroen Schillewaert and Koen Struyve},
     title = {On exceptional homogeneous compact geometries of type $\mathsf C_3$},
     journal = {Groups, geometry, and dynamics},
     pages = {1377--1399},
     year = {2017},
     volume = {11},
     number = {4},
     doi = {10.4171/ggd/432},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/432/}
}
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