New York Number Theory Seminar
February 13, 2003, 3:30 PM in Room 5417

Speaker:
Bela Bajnok, Gettyburg College: Title:
The independence number of a subset of an abelian group.: Abstract:
A subset $S$ of the finite (additive) abelian group $G$ will be called $t$-independent, if no multi-subset of $S$ with at most $t$ elements can be divided into two disjoint parts so that the two parts have the same (multi-subset) sum. This concept extends the well known concepts of sum-free sets, Sidon-sets, and $B_h$ sequences. We are interested in finding the maximum size of a $t$-independent set in $G$.