Groups in which every Lagrange subset is a factor
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912329990406144 |
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| author | Hooshmand, M. H. Kohl, Stefan |
| author_facet | Hooshmand, M. H. Kohl, Stefan |
| contents | We determine the finite groups $G$ in which every subset $A \subseteq G$ of cardinality dividing the order of $G$ is a \emph{factor}, i.e. has a complement $B \subseteq G$ of cardinality $|G|/|A|$ such that $G = A \cdot B$ or $G = B \cdot A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Groups in which every Lagrange subset is a factor Hooshmand, M. H. Kohl, Stefan Group Theory 20-04, 20B99 We determine the finite groups $G$ in which every subset $A \subseteq G$ of cardinality dividing the order of $G$ is a \emph{factor}, i.e. has a complement $B \subseteq G$ of cardinality $|G|/|A|$ such that $G = A \cdot B$ or $G = B \cdot A$. |
| title | Groups in which every Lagrange subset is a factor |
| topic | Group Theory 20-04, 20B99 |
| url | https://arxiv.org/abs/2504.11503 |