The linearizable generation conjecture for polynomial automorphism groups

Let K\mathbb{K} be a field and let nn denote the number of variables. A polynomial automorphism is linearizable if it can be transformed into a linear automorphism by a polynomial change of coordinates. Linearizable generation conjecture. The group

GAn(K)\operatorname{GA}_n(\mathbb{K})

is generated by all linearizable automorphisms. The source gives this as another conjecture concerning generating sets of polynomial automorphism groups; it does not provide a resolution in the supplied text.

Sources & referencesView supporting material

Primary source

Stefan Maubach, “A problem on polynomial maps over finite fields”, arXiv:0802.0630 (2008).

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