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- W1966400900 abstract "Let G be a permutation group on a set Ω such that G has no fixed points in Ω. If, for a given positive integer m , the cardinalities | Γ g ⧹ Γ | is at most m for all g ∈ G and Γ⊆Ω , then G is said to have bounded movement m on Ω . When the maximum of | Γ g ⧹ Γ | over all g ∈ G and Γ⊆Ω is equal to m , we say G has bounded movement equal to m . We will show that if G has bounded movement equal to m and p (⩾5) is the least odd prime dividing | G |, then it has at most 2 m −( p −1) nontrivial orbits. Moreover the groups G attaining the maximum bound will be classified." @default.
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- W1966400900 date "2002-06-01" @default.
- W1966400900 modified "2023-09-26" @default.
- W1966400900 title "Certain groups with bounded movement having the maximal number of orbits" @default.
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- W1966400900 doi "https://doi.org/10.1016/s0021-8693(02)00020-0" @default.
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