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
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Some co-tame automorphisms of affine spaces;International Journal of Algebra and Computation;2021-09-28
2. Permutation Groups Induced by Derksen Groups in Characteristic Two;Acta Mathematica Vietnamica;2020-09-24
3. Co-tame polynomial automorphisms;International Journal of Algebra and Computation;2019-07-08
4. Infinite transitivity, finite generation, and Demazure roots;Advances in Mathematics;2019-07
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