Normalizers of nilpotent subgroups of division rings

• Autores: B. A. F. Wehrfritz
• Localización: Quarterly journal of mathematics, ISSN 0033-5606, Vol. 58, Nº. 1, 2007, págs. 127-135
• Idioma: inglés
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• Resumen

  • 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.