Some stably tame polynomial automorphisms

• Autores: Sooraj Kuttykrishnan
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 1, 2009, págs. 127-135
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.05.007
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• Resumen

  • We study the structure of length three polynomial automorphisms of R[X,Y] when R is a UFD. These results are used to prove that if SLm(R[X1,X2,�,Xn])=Em(R[X1,X2,�,Xn]) for all n=0 and for all m=3 then all length three polynomial automorphisms of R[X,Y] are stably tame.