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Maximal sum-free sets in cyclic groups of prime-power order

Published online by Cambridge University Press:  17 April 2009

Anne Penfold Street
Anne Penfold Street
Affiliation:
University of Queensland, St Lucia, Queens land.
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Abstract

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A subset S of an additive group G is called a maximal sum-free set in G if (S+S) ∩ S = ø and |S| ≥ |T| for every sum-free set T in G. In this paper, the maximal sum-free sets in cyclic p–groups are characterized to within automorphism.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 3 , June 1971 , pp. 407 - 418
Copyright
Copyright © Australian Mathematical Society 1971

References

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