arXiv:2105.08000 Abstract | arXiv Analytics

arXiv:2105.08000 [math.GR]Abstract References Reviews Resources

Polynomial maps and polynomial sequences in groups

Published 2021-05-17, updated 2022-12-12Version 2

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.

Comments: 35 pages. arXiv admin note: substantial text overlap with arXiv:2011.06683

Categories: math.GR, math.NT

Subjects: 20M14, 20F18, 11C08

Keywords: polynomial maps, polynomial sequences, arbitrary groups, heisenberg groups, target group

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