Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-23T11:15:53.017Z Has data issue: false hasContentIssue false
  • English
  • Français

Maximal sum-free sets in finite abelian groups, II

Published online by Cambridge University Press:  17 April 2009

H.P. Yap
H.P. Yap
Affiliation:
University of Alberta, Edmonton, Canada.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Maximal sum-free sets in groups Zn, where n is any positive integer such, that every prime divisor of n is congruent to 1 modulo 3, are completely characterized.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 1 , August 1971 , pp. 43 - 54
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 Acad. 45 (1969), 1–5.Google Scholar
[2]Endös, P., “Extremal problems in number theory”, Proc. Sympos. Pure Math. 8, 181–189 (Amer. Math. Soc., Providence, Rhode Island, 1965).Google Scholar
[3]Kemperman, J.H.B., “On small sumsets in an abelian group”, Acta Math. 103 (1960), 63–88.CrossRefGoogle Scholar
[4]Mann, Henry B., Addition theorems: The addition theorems of group theory and number theory (Interscience Tracts in Pure and Applied Mathematics, Number 18, John Wiley, New York, London, Sydney, 1965).Google Scholar
[5]Rhemtulla, A.H. and Street, Anne Penfold, “Maximal sum-free sets in finite abelian groups”, Bull. Austral. Math. Soc. 2 (1970), 289–297.CrossRefGoogle Scholar
[6]Rhemtulla, A.H. and Street, Anne Penfold, “Maximal sum-free sets in elementary abelian p-groups”, Canad. Math. Bull. (to appear).Google Scholar
[7]Yap, H.P., “The number of maximal sum-free sets in Cp”, Nanta Math. 2 (1968), 68–71.Google Scholar
[8]Yap, H.P., “Structure of maximal sum-free sets in Cp”, Acta Arith. 17 (1970), 29–35.CrossRefGoogle Scholar
[9]Yap, Hian Poh, “Structure of maximal sum-free sets in groups of order 3p”, Proc. Japan Acad. 46 (1970), 758–762.CrossRefGoogle Scholar
[10]Yap, H.P., “Maximal sum-free sets in finite abelian groups”, Bull. Austral. Math. Soc. 4 (1971), 217–223.CrossRefGoogle Scholar