# 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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