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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.16985 |
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| _version_ | 1866909325855817728 |
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| author | Hristova, Elitza Stankov, Bogdan |
| author_facet | Hristova, Elitza Stankov, Bogdan |
| contents | In the spirit of the action of the symmetric group on the ring of polynomials in $n$ variables, we consider the actions of the seven frieze groups on rings of formal infinite linear combinations of monomials of restricted degree. For each group we describe the respective subring of invariants. We discuss also the structure of those rings as modules over each frieze group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Actions of frieze groups on inverse limits of polynomial rings Hristova, Elitza Stankov, Bogdan Group Theory Rings and Algebras In the spirit of the action of the symmetric group on the ring of polynomials in $n$ variables, we consider the actions of the seven frieze groups on rings of formal infinite linear combinations of monomials of restricted degree. For each group we describe the respective subring of invariants. We discuss also the structure of those rings as modules over each frieze group. |
| title | Actions of frieze groups on inverse limits of polynomial rings |
| topic | Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2409.16985 |