Buildings of Spherical Type and Finite BN-Pairs

These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >| and irreducible, spherical type, other than ~ and H (“of spherical type” means “with finite Weyl 4 group”, about the excluded types H, cf. the addenda on p. 274).