Conjuntos suma pequeños en grupos hamiltonianos

Wilson F. Mutis ^[1] ; Fernando A. Benavides ^[1] ; John H. Castillo ^[1]
1. [1] Universidad de Nariño
  
  Universidad de Nariño
  
  Colombia
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 1, 2012, págs. 1-9
Idioma: inglés
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Resumen
- Given a group (G, ·) and positive integers r, s ≤ |G|, we denote with μG (r,s) the least possible size of the sumsets AB = {a · b : a ∈ A and b ∈ B}, where A, B run over all subsets of G, such that |A| = r and |B| = s. Let H = Q × (Z/2Z)k × C be a Hamiltonian group, where k is a non-negative integer, Q is the quaternion group of 8 elements and C is a cyclic group of odd order. We present an explicit formula for μH(r,s).