Polynomial maps and polynomial sequences in groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866910623747538944 |
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| author | Hu, Ya-Qing |
| author_facet | Hu, Ya-Qing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_08000 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Polynomial maps and polynomial sequences in groups Hu, Ya-Qing Group Theory Number Theory 20M14, 20F18, 11C08 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. |
| title | Polynomial maps and polynomial sequences in groups |
| topic | Group Theory Number Theory 20M14, 20F18, 11C08 |
| url | https://arxiv.org/abs/2105.08000 |