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- W2933936601 abstract "A finite group of order $n$ is said to have the distinct divisor property (DDP) if there exists a permutation $g_1,ldots, g_n$ of its elements such that $g_i^{-1}g_{i+1} neq g_j^{-1}g_{j+1}$ for all $1leq i<j<n$. We show that an abelian group is DDP if and only if it has a unique element of order 2. We also describe a construction of DDP groups via group extensions by abelian groups and show that there exist infinitely many non abelian DDP groups." @default.
- W2933936601 created "2019-04-11" @default.
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- W2933936601 date "2019-04-08" @default.
- W2933936601 modified "2023-09-27" @default.
- W2933936601 title "Permutations with a distinct divisor property" @default.
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