We show that in a special Moufang set, either the root groups are elementary abelian 2-groups, or the Hua subgroup H (= the Cartan subgroup) acts irreducibly on U, i.e. the only non-trivial H-invariant subgroup of a root group normalized by H is the whole root group.
|Number of pages||8|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - 1 Jan 2008|