Guidici, M. and Hart, Sarah B. (2009) Small maximal sumfree sets. Electronic Journal of Combinatorics 16 (1), ISSN 10778926.
This is the latest version of this item.

Text
Shart815.pdf Download (219Kb)  Preview 
Official URL: http://www.emis.de/journals/EJC/Volume_16/PDF/v16i...
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 
Available Versions of this Item

Small maximal sumfree sets. (deposited 10 Jan 2007)
 Small maximal sumfree sets. (deposited 03 Nov 2009 17:32) [Currently Displayed]
Archive Staff Only (login required)
Edit/View Item 