Authors: Yu. Bodnarchuk
Abstract
Invertible polynomial map of the standard 1-parabolic form x
i -> f
i(x
1, ...,x
n-1), i < n, x
n -> alpha*x
n + h
n(x
1, ...,x
n-1) is a natural generalization of a triangular map. To generalize the previous results about triangular and bitriangular maps, it is shown that the group of tame polynomial transformations TGA
3 is generated by an affine group AGL
3 and any nonlinear biparabolic map of the form U
0*q
1*U
1*q
2*U
2, where U
i are linear maps and both q
i have the standard 1-parabolic form.
University "Kiev Mohyla Academy"
str.Scovoroda 2,
Kyiv 40070, Ukraine
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