Configuration sets for groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866908937421324288 |
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| author | Zapata, Cesar A. Ipanaque de Campos, Alex Freitas |
| author_facet | Zapata, Cesar A. Ipanaque de Campos, Alex Freitas |
| contents | We develop practical tools for analyzing the configuration set $F(G,k)$ of $k\geq 2$ distinct elements in a group $G$. We apply our results to design homogeneous linear systems in $\mathbb{F}_q$ that admit nontrivial solutions. Furthermore, we study the connectivity of Cayley graphs of the form $\mathrm{Cay}(G^k,F(G,k))$. In addition, we consider the configuration set of $k\geq 2$ distinct non-identity elements in $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_09772 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Configuration sets for groups Zapata, Cesar A. Ipanaque de Campos, Alex Freitas Combinatorics Group Theory Primary 20K25, 20F05, Secondary 55R80 We develop practical tools for analyzing the configuration set $F(G,k)$ of $k\geq 2$ distinct elements in a group $G$. We apply our results to design homogeneous linear systems in $\mathbb{F}_q$ that admit nontrivial solutions. Furthermore, we study the connectivity of Cayley graphs of the form $\mathrm{Cay}(G^k,F(G,k))$. In addition, we consider the configuration set of $k\geq 2$ distinct non-identity elements in $G$. |
| title | Configuration sets for groups |
| topic | Combinatorics Group Theory Primary 20K25, 20F05, Secondary 55R80 |
| url | https://arxiv.org/abs/2101.09772 |