Resumen de Normalizers of nilpotent subgroups of division rings

B. A. F. Wehrfritz

• Let D be an arbitrary division ring and G a nilpotent subgroup of the multiplicative group D* of D of class at most 2 such that D is generated as a division ring by G and the centralizer in D of G. The normalizer of G in D* is computed precisely, which extends a theorem of M. Shirvani from finite-dimensional division algebras to arbitrary division rings.