Inversion invariant additive subgroups of division rings
Inversion invariant additive subgroups of division rings
We characterize the inversion invariant additive subgroups of any field, and, more generally, those of a division ring (apart from division rings of characteristic 2).We also show how a classical identity of Hua provides a bridge between this problem and Jordan algebras.Answering a question of Dan Mauldin, we characterize in …