NORMAL SUBGROUPS GENERATED BY A SINGLE POLYNOMIAL AUTOMORPHISM

@article{Lewis2017NORMALSG,
  title={NORMAL SUBGROUPS GENERATED BY A SINGLE POLYNOMIAL AUTOMORPHISM},
  author={Drew Lewis},
  journal={Transformation Groups},
  year={2017},
  volume={25},
  pages={177-189}
}
  • D. Lewis
  • Published 13 September 2017
  • Mathematics
  • Transformation Groups
We study criteria for deciding when the normal subgroup generated by a single special polynomial automorphism of 𝔸 n is as large as possible, namely, equal to the normal closure of the special linear group in the special automorphism group. In particular, we investigate m-triangular automorphisms , i.e., those that can be expressed as a product of affine automorphisms and m triangular automorphisms. Over a field of characteristic zero, we show that every nontrivial 4-triangular special… 
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