Correction to: HOMOGENEOUS COMPACT GEOMETRIES

Krämer, Ludwig; Lytchak, Alexander

doi:10.1007/s00031-019-09524-9

Transformation Groups

2019

DOI: 10.1007/s00031-019-09524-9

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Correction to: HOMOGENEOUS COMPACT GEOMETRIES

Ludwig Krämer

Alexander Lytchak

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On two nonbuilding but simply connected compact Tits geometries of type C3

Pasini

2019

Innov. Incidence Geom.

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A classification of homogeneous compact Tits geometries of irreducible spherical type, with connected panels and admitting a compact flagtransitive automorphism group acting continuously on the geometry, has been obtained by Kramer and Lytchak [5] and [6]. According to their main result, all such geometries but two are quotients of buildings. The two exceptions are flat geometries of type C3 and arise from polar actions on the Cayley plane over the division algebra of real octonions. The classification obtained by Kramer and Lytchak does not contain the claim that those two exceptional geometries are simply connected, but this holds true, as proved by Schillewaert and Struyve [11]. The proof by Schillewaert and Struyve is of topological nature and relies on the main result of [5] and [6]. In this paper we provide a combinatorial proof of that claim, independent of [5] and [6].

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On two nonbuilding but simply connected compact Tits geometries of type C3

Pasini

2019

Innov. Incidence Geom.

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Correction to: HOMOGENEOUS COMPACT GEOMETRIES

Cited by 1 publication

References 9 publications

On two nonbuilding but simply connected compact Tits geometries of type C3

On two nonbuilding but simply connected compact Tits geometries of type C3

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