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most citedGroups of Projectivities and Levi Subgroups in Spherical Buildings of Simply Laced Type

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math.CO2024

A Characterization of Lines in Finite Lie Incidence Geometries of Classical Type

Sira Busch, Hendrik Van Maldeghem

We consider any classical Grassmannian geometry ; that is, any projective or polar Grassmann space. Suppose every line in contains points. Then we classify all sets of…

math.GR2024★ 1 cited

Groups of Projectivities and Levi Subgroups in Spherical Buildings of Simply Laced Type

Sira Busch, Jeroen Schillewaert, Hendrik Van Maldeghem

We introduce the special and general projectivity groups attached to a simplex of a thick irreducible spherical building of simply laced type. If the residue of is irreduci…