Guidici, M and Hart, S
(2006)
Small maximal sumfree sets.
(submitted for publication)
,
(Submitted)
Abstract
Let $G$ be a group and $S \subseteq G$. If $xy \notin S$ for any
$x,y\in S$, then $S$ is called \emph{sumfree}. We show that if $S$
is maximal by inclusion and no proper subset generates $\la S\ra$
then $S\leq 2$. We determine all groups with a maximal (by
inclusion) sumfree set of size at most 2 and all of size 3 where
there exists $a \in S$ such that $a \notin \langle S \setminus
\{a\}\rangle$.
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Small maximal sumfree sets. (deposited 10 Jan 2007)
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