GENERALISATIONS OF THE TAME AUTOMORPHISMS OVER A DOMAIN OF POSITIVE CHARACTERISTIC

@article{Edo2013GENERALISATIONSOT,
  title={GENERALISATIONS OF THE TAME AUTOMORPHISMS OVER A DOMAIN OF POSITIVE CHARACTERISTIC},
  author={Eric Edo and Shigeru Kuroda},
  journal={Transformation Groups},
  year={2013},
  volume={20},
  pages={65-81}
}
In this paper, we introduce two generalizations of the tame subgroup of the automorphism group of a polynomial ring over a domain of positive characteristic. We study detailed structures of these new ‘tame subgroups’ in the case of two variables. 

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References

SHOWING 1-10 OF 10 REFERENCES
Length 2 variables of A[x,y] and transfer
We construct and study length 2 variables of A[x; y] (A is a commutativering). If A is a integral domain, we determine among these variables thosewhich are tame. If A is a UFD, we prove that theseExpand
The tame and the wild automorphisms of polynomial rings in three variables
Let C = F [x1, x2, . . . , xn] be the polynomial ring in the variables x1, x2, . . . , xn over a field F , and let AutC be the group of automorphisms of C as an algebra over F . An automorphism τ ∈Expand
Polynomial Automorphisms and the Jacobian Conjecture
In this paper we give an update survey of the most important results concerning the Jacobian conjecture: several equivalent descriptions are given and various related conjectures are discussed. AtExpand
On polynomial rings in two variables, Nieuw Arch. Wisk
  • 1953
On automorphism group of k[x, y]
Über ganze birationale Transformationen der Ebene.
Elementary Reducibility of Automorphisms of a Vector Group
On automorphism group of k[x, y]
Combinatorial Group Theory: COMBINATORIAL GROUP THEORY