Affiliation: Universite du Littoral Cote d'Opale, Calais
Email: eliahou@lmpa.univ-littoral.fr
Title Of Talk: Optimally small sumsets in groups
Abstract: Let G be a group. We denote by mu_G(r,s) the least possible cardinality of a sumset A.B in G, where A and B range over all subsets of G of cardinality r and s, respectively. (For instance, if G is of prime order p, then mu_G(r,s) = min(r+s-1,p) by the Cauchy-Davenport theorem.) The talk will review current knowledge on the function mu_G, including recent progress for a few classes of groups (abelian, dihedral), as well as for some ranges of the parameters r,s.
Last update made Thu Nov 11 14:46:23 EST 2004.
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