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Small maximal sum-free sets

Guidici, M. and Hart, Sarah B. (2009) Small maximal sum-free sets. Electronic Journal of Combinatorics 16 (1), ISSN 1077-8926.

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Abstract

Let G be a group and S a non-empty subset of G. If ab∉S for any a,b∈S, then S is called sum-free. We show that if S is maximal by inclusion and no proper subset generates ⟨S⟩ then |S|≤2. We determine all groups with a maximal (by inclusion) sum-free set of size at most 2 and all of size 3 where there exists a∈S such that a∉⟨S∖{a}⟩.

Item Type: Article
Additional Information: First published in Electronic Journal of Combinatorics 16, (1), 2009, Research Paper 59, published by the American Mathematical Society.
Keyword(s) / Subject(s): sum-free sets, groups
School or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
Depositing User: Sarah Hart
Date Deposited: 03 Nov 2009 17:32
Last Modified: 09 Sep 2013 10:13
URI: http://eprints.bbk.ac.uk/id/eprint/815

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