Stable tameness of automorphisms of F<x,y,z> fixing z

Abstract

It is proved that every z-automorphism (z-coordinate, respectively) of the free associative algebra F<x,y,z> over an arbitrary field F is stably tame.

5 pages

References in corpus (2)

• Automorphisms fixing a variable of K<x,y,z>
• On the lifting of the Nagata automorphism

Cited by in corpus (2)

• The Jacobian Conjecture, together with Specht and Burnside-type problems
• On the tame authomorphism approximation, augmentation Topology of Automorphism Groups and $Ind$-schemes, and authomorphisms of tame automorphism groups