The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra

• Autores: Yu V. Sosnovskii
• Localización: Siberian mathematical journal, ISSN 0037-4466, Vol. 48, Nº. 3, 2007, págs. 555-558
• Idioma: inglés
• DOI: 10.1007/s11202-007-0057-6
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• Resumen

  • We describe the hypercentral structure of the group of unitriangular automorphisms of the polynomial algebra K[x 1, ¿, x n ] for n = 3 and an arbitrary field K. This group is sometimes called the Borel group. The description implies the nonlinearity for this group over any field.