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arXiv · 2103.13731

Gradings allowing wild automorphisms

Anton Trushin
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Abstract

In 2004 Shestakov and Umirbaev proved that the Nagata automorphism of the polynomial algebra in three variables is wild. We fix a Z-grading on this algebra and consider graded-wild automorphisms, i.e. such automorphisms that can not be decomposed onto elementary automorphisms respecting the grading. We describe all gradings allowing graded-wild automorphisms.

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Anton Trushin. 2021-03-25. Gradings allowing wild automorphisms. https://arxiv.org/abs/2103.13731

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