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A Note on the Classes of Non-Linear Semi-Special Permutations

Published online by Cambridge University Press:  18 May 2009

K. R. Yacoub
Affiliation:
Faculty Of Science, Alexandria University, Egypt
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In a recent paper [1], the author divided the semi-special permutations on [n] that are not linear into two classes. The first class consists of the semi-special permutations which, for all possible values of s, have s as a principal number and which induce modulo s the identity permutation. The second class consists of all the semi-special permutations, with principal number s, which induce modulo s linear permutations other than the identity, where again s takes all its possible values.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1958

References

1.Yacoub, K. R., A note on semi-special permutations, Proc. Glasgow Math. Assoc., 3 (1958), 164169.CrossRefGoogle Scholar
2.Yacoub, K. R., On semi-special permutations I, Proc. Glasgow Math. Assoc., 3 (1956), 1835.Google Scholar
3.Yacoub, K. R., On semi-special permutations II. Semi-special permutations on [p α]. Duke Math. J., 24 (1957), 455465.Google Scholar