ON GENERATORS OF THE TAME INVERTIBLE POLYNOMIAL MAPS GROUP

Author:

BODNARCHUK YURIY1

Affiliation:

1. University "Kiev-Mohyla Academy", Math. Dep. University "Kiev-Mohyla Academy", Scovoroda — 2 str., Kiev 04070, Ukraine

Abstract

The group TGAn of tame invertible polynomial maps is generated by the affine group AGLn and the triangular polynomial maps group Bn. In reality, for n > 2, Bn can be replaced by only one arbitrary nonlinear element, i.e., TGAn = 〈q, AGLn〉, q ∈ Bn\AGLn. Some classes of polynomial maps q, which have the same property are ascertained.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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1. Some co-tame automorphisms of affine spaces;International Journal of Algebra and Computation;2021-09-28

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3. Co-tame polynomial automorphisms;International Journal of Algebra and Computation;2019-07-08

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5. Generalization of a counterexample to Derksen’s theorem in characteristic two;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2019-02-12

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