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On exceptional compact homogeneous geometries of type C3

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arxiv 1710.08584 v1 pith:FLMKYOVP submitted 2017-10-24 math.CO math.DGmath.GR

classification math.COmath.DGmath.GR
keywords compactexceptionalframeworkgeometrieshomogeneoustypeansweringautomorphism
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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.

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