On order in generalized polygons

Finite Generalized Quadrangles

“…For more information about generalized polygons we refer to P. Dembowski [50], W. Feit and G. Higman [57], W. Haemers [66], M.A. Ronan [148,149,150,152], J. Tits [217,221,222,224,225], A. Yanushka [237,238].…”

Points and Lines

“…This brings us to the remarkable theorem of A. Yanushka [147]. 12 The argument is that if two thick vertices of are connected by a path of lenth k, all of whose non-extremal vertices are thin, then all such paths connecting two thick vertices have this length.…”

“…In a beautiful paper by Arthur Yanushka [147], it is shown that all generalized polygons of finite diameter having both thin and thick objects are obtained from a thick generalized polygon by a certain construction. We describe this theory next.…”