Cyclotomic construction of $λ$-fold near-factorizations of cyclic groups
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916861202923520 |
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| author | Li, Shuxing Momihara, Koji |
| author_facet | Li, Shuxing Momihara, Koji |
| contents | The study of near-factorizations of finite groups dates back to the 1950s. Recently, this topic has attracted renewed attention, and the concept has been extended to $λ$-fold near-factorizations, in which each non-identity group element appears exactly $λ\ge 1$ times. This paper presents a cyclotomic construction of $λ$-fold near-factorizations in the cyclic group $\mathbb{F}_p$, where $p = 4n^4 + 12n^2 + 1$ is prime for $n \ge 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclotomic construction of $λ$-fold near-factorizations of cyclic groups Li, Shuxing Momihara, Koji Combinatorics Group Theory The study of near-factorizations of finite groups dates back to the 1950s. Recently, this topic has attracted renewed attention, and the concept has been extended to $λ$-fold near-factorizations, in which each non-identity group element appears exactly $λ\ge 1$ times. This paper presents a cyclotomic construction of $λ$-fold near-factorizations in the cyclic group $\mathbb{F}_p$, where $p = 4n^4 + 12n^2 + 1$ is prime for $n \ge 1$. |
| title | Cyclotomic construction of $λ$-fold near-factorizations of cyclic groups |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2507.18045 |