Resumen de Inversion invariant additive subgroups of division rings

Daniel Goldstein, Robert M. Guralnick, Lance W. Small, Efim Zelmanov

• 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.