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arXiv · 2105.08000

Polynomial maps and polynomial sequences in groups

Ya-Qing Hu
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Abstract

This paper develops a theory of polynomial maps from commutative semigroups to arbitrary groups and proves that it has desirable formal properties when the target group is locally nilpotent. We apply this theory to solve Waring's Problem for Heisenberg groups in a sequel to this paper.

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Ya-Qing Hu. 2021-05-17. Polynomial maps and polynomial sequences in groups. https://doi.org/10.1515/jgth-2023-0051

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