Stably co-tame polynomial automorphisms over commutative rings

preprint2016arXivOpen access

Abstract

We say that a polynomial automorphism ϕϕ in nn variables is stably co-tame if the tame subgroup in nn variables is contained in the subgroup generated by ϕϕ and affine automorphisms in n+1n+1 variables. In this paper, we give conditions for stably co-tameness of polynomial automorphisms.

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