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Maximal sum-free sets in finite abelian groups

Published online by Cambridge University Press:  17 April 2009

H.P. Yap
H.P. Yap
Affiliation:
University of Alberta, Edmonton, Canada.
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Abstract

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Maximal sum-free sets in elementary abelian 3-groups and groups G = Z3 ⊕ Z3 ⊕ Zp where p is a prime congruent to 1 modulo 3 are completely characterized.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 217 - 223
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Diananda, Palahenedi Hewage and Yap, Hian Poh, “Maximal sum-free sets of elements of finite groups”, Proc. Japan Aaad. 45 (1969), 1–5.Google Scholar
[2]Mann, Henry B., “Addition theorems: The addition theorems of group theory and number theory”, Interscience Tracts in Pure and Applied Mathematics, no. 18 (John Wiley, New York, London, Sydney, 1965).Google Scholar
[3]Rhemtulla, A.M. and Street, Anne Penfold, “Maximal sum-free sets in finite abelian groups”, Bull. Austral. Math. Soc. 2 (1970), 289–297.CrossRefGoogle Scholar
[4]Rhemtulla, A.H. and Street, Anne Penfold, “Maximal sumfree sets in elementary abelian p-groups”, Canad. Math. Bull. (to appear).Google Scholar
[5]Yap, H.P., “The number of maximal sum-free sets in C p”, Nanta Math. 2 (1968), 68–71.Google Scholar
[6]Yap, H.P., “Structure of maximal sum-free sets in Cp”, Acta Arith. 17 (1970), 29–35.CrossRefGoogle Scholar
[7]Yap, Hian Poh, “Structure of maximal sum-free sets in groups of order 3p”, Proc. Japan Acad. (to appear).Google Scholar