Inversion invariant additive subgroups of division rings

• Autores: Daniel Goldstein, Robert M. Guralnick, Lance W. Small, Efim Zelmanov
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 227, Nº 2, 2006, págs. 287-294
• Idioma: inglés
• DOI: 10.2140/pjm.2006.227.287
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• Resumen

  • 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.