Codistances in buildings (Q447757)

Twin buildings have been introduced by M. A. Ronan and \textit{J. Tits} [Lon. Math. Soc. Lect. Note Ser. 165, 249--286 (1992; Zbl 0851.22023)] to give a geometric interpretation of the Kac-Moody groups. A codistance in a building is a twinning of this building with one chamber. The authors study this local situation and prove that affine Bruhat-Tits buildings defined over \(p\)-adic numbers do not admit a codistance.