Geodesic
Some Mappings Associated with the Permutation Groups
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 71-75

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Let Sn denote the permutation group on {1, 2, 3, ..., n}. Let k ≥ 1 and n ≥ 1 be integers. For σ ∊ Sn we define ([1]) mk, n: Sn → Z by Let pn ∊ Sn be the reverse permutation: that is, 
Davison, J. L. Some Mappings Associated with the Permutation Groups. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 71-75. doi: 10.4153/CMB-1977-012-0
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     title = {Some {Mappings} {Associated} with the {Permutation} {Groups}},
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