Iterated Sumsets and Subsequence Sums

2017/09/26 by Grynkiewicz, David J.
#11B75 #11P70 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1709.09285

Abstract

Let G≅ \mathbb Z/m₁\mathbb Z×…× \mathbb Z/m_r\mathbb Z be a finite abelian group with m₁|…| m_r=exp(G). The Kemperman Structure Theorem characterizes all subsets A, B⊆ G satisfying |A+B|

Related

• Iterated Sumsets and Setpartitions
• A Step Beyond Kemperman's Structure Theorem
• The restricted sumsets in finite abelian groups
• A Structure Theory for Small Sum Subsets
• Critical pairs in abelian groups and Kemperman's structure theorem