Séminaire CAESAR
de combinatoire additive




Séance du jeudi 5 février 2015
(11 heures, UPMC Paris 6, couloir 15-25, salle 101):

Béla BAJNOK
(Gettysburg college, États-Unis d'Amérique)

Open problems about sumsets in groups


For a positive integer h and a subset A of a given finite abelian group, we let hA, h_{+-}A, and h^A denote the h-fold sumset, signed sumset, and restricted sumset of A, respectively. In this talk we will review what is known and not yet known about the minimum sizes of these three types of sumsets; in particular, we will discuss several new open direct and inverse problems.



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