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A theorem on perfect Singer difference sets

Published online by Cambridge University Press:  24 October 2008

D. L. Yates
D. L. Yates
Affiliation:
University of Nottingham
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Extract

This theorem proves the equivalence of two conjectures on perfect Singer difference sets, one of which is concerned with the actual computation of the set, and the other being of interest in the theory of multipliers and fixed sets.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 591 - 593
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Halberstam, H. and Laxton, R. R.Perfect difference sets. Proc. Glasgow Math. Assoc. 6, 4 (1964), 177–184.CrossRefGoogle Scholar
(2)Hall, M. Jr, A survey of difference sets. Proc. Amer. Math. Soc. 7 (1956), 975–986.CrossRefGoogle Scholar