Abstract: A Moufang set is a doubly transitive permutation group G on a set X with |X| \ge 3, such that the point stabilizer G_x contains a normal subgroup U_x (the root group) which is regular on the remaining points and whose conjugates generate G.
Moufang sets should be thought of as rank one Moufang buildings and as such they are the basic building blocks of Moufang buildings.
Special Moufang sets (or more precisely special abstract rank one groups) were given a considerable amount of attention in Timmesfelds book (Abstract Root Subgroups and Simple Groups of Lie-Type).
I will discuss, and give partial results on the conjecture that says that a special Moufang set has abelian root groups.
ab 15:45 Uhr
im Raum 033, Arnimallee 6