Several facts suggest the conjecture that all finite Tits geometries of type C3 with thick lines are either buildings or flat. We prove that, if Г is a finite Tits geometry of type Cn (n ≥ 3) with thick lines and if all residues of Г of type C3 are either buildings or flat, then either Г is a building or n = 3 and Г is flat. © 1987, Academic Press Inc. (London) Limited.
Pasini, A. (1987). On Tits geometries of type Cn. EUROPEAN JOURNAL OF COMBINATORICS, 8(1), 45-53 [10.1016/S0195-6698(87)80019-7].
On Tits geometries of type Cn.
PASINI, ANTONIO
1987-01-01
Abstract
Several facts suggest the conjecture that all finite Tits geometries of type C3 with thick lines are either buildings or flat. We prove that, if Г is a finite Tits geometry of type Cn (n ≥ 3) with thick lines and if all residues of Г of type C3 are either buildings or flat, then either Г is a building or n = 3 and Г is flat. © 1987, Academic Press Inc. (London) Limited.
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