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Some Mappings Associated with the Permutation Groups

Published online by Cambridge University Press:  20 November 2018

J. L. Davison
J. L. Davison*
Affiliation:
Department of MathematicsLaurentian University Sudbury, Ontario
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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,

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 71 - 75
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Davison, J. L.. A Result on Sums of Squares, Canadian Mathematical Bulletin Vol. 18(3), 1975, 425-426.Google Scholar