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- W3116258519 abstract "Let m be a positive integer and let Ω be a finite set. The m-closure of G≤Sym(Ω) is the largest permutation group on Ω having the same orbits as G in its induced action on the Cartesian product Ωm. The 1-closure and 2-closure of a solvable permutation group need not be solvable. We prove that the m-closure of a solvable permutation group is always solvable for m≥3." @default.
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- W3116258519 date "2022-10-01" @default.
- W3116258519 modified "2023-09-25" @default.
- W3116258519 title "The 3-closure of a solvable permutation group is solvable" @default.
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- W3116258519 doi "https://doi.org/10.1016/j.jalgebra.2021.07.002" @default.
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