Polynomial maps and polynomial sequences in groups
Group Theory
2024-10-01 v2 Number Theory
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.
Cite
@article{arxiv.2105.08000,
title = {Polynomial maps and polynomial sequences in groups},
author = {Ya-Qing Hu},
journal= {arXiv preprint arXiv:2105.08000},
year = {2024}
}
Comments
35 pages. arXiv admin note: substantial text overlap with arXiv:2011.06683