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On Semi-Special Permutations I

Published online by Cambridge University Press:  18 May 2009

K. B. Yacoub
K. B. Yacoub
Affiliation:
Faculty of Science, University of Alexandria, Egypt
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In an earlier paper [1] on groups which are the products of two finite cyclic groups with trivial intersection, certain permutations, called “semi-special”, played a certain role. The permutation π of the numbers 1, 2,…, n is semi-special if† πn=n, and if, for every y ε [n],

is again a permutation, namely a power (depending on y) of π.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 1 , December 1956 , pp. 18 - 35
Copyright
Copyright © Glasgow Mathematical Journal Trust 1956

References

REFERENCES

1.Yacoub, K. R., General products of two finite cyclic groups, Proc. Glasgow Math. Assoc., 2 (1955), 116–123,CrossRefGoogle Scholar
2.Douglas, J., On finite groups with two independent generators. Exponential substitutions, Proc. Nat. Acad. Sci., U.S.A., 37 (1951), 749–760.Google Scholar