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Maximal sum-free sets in finite abelian groups, V
Published online by Cambridge University Press: 17 April 2009
Abstract
Let λ(G) be the cardinality of a maximal sum-free set in a group G. Diananda and Yap conjectured that if G is abelian and if every prime divisor of |G| is congruent to 1 modulo 3, then λ(G) = |G|(n−1)/3n where n is the exponent of G. This conjecture has been proved to be true for elementary abelian p−groups by Rhemtulla and Street ana for groups by Yap. We now prove this conjecture for groups G = Zpq ⊕ Zp where p and q are distinct primes.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 337 - 342
- Copyright
- Copyright © Australian Mathematical Society 1975
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