Guidici, M. and Hart, Sarah B. (2009) Small maximal sumfree sets. Electronic Journal of Combinatorics 16 (1), ISSN 10778926.
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Abstract
Let G be a group and S a nonempty subset of G. If ab∉S for any a,b∈S, then S is called sumfree. 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) sumfree 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):  sumfree 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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Small maximal sumfree sets. (deposited 10 Jan 2007)
 Small maximal sumfree sets. (deposited 03 Nov 2009 17:32) [Currently Displayed]
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