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Stably co-tame polynomial automorphisms over commutative rings (1604.01551v1)
Published 6 Apr 2016 in math.AC, math.AG, and math.GR
Abstract: We say that a polynomial automorphism $\phi $ in $n$ variables is stably co-tame if the tame subgroup in $n$ variables is contained in the subgroup generated by $\phi $ and affine automorphisms in $n+1$ variables. In this paper, we give conditions for stably co-tameness of polynomial automorphisms.