Large and small sets with respect to homomorphisms and products of groups

Abstract

We study the behaviour of large, small and medium subsets with respect to homomorphisms and products of groups. Then we introduce the definition af a P-small set in abelian groups and we investigate the relations between this kind of smallness and the previous one, giving some examples that distinguish them.

Keywords

• Group
• Large set
• Small set
• P-small set
• Homomorphism
• Direct product