Asymptotic formula for sum-free sets in abelian groups

R. Balasubramanian; Gyan Prakash

Displaying similar documents to “Asymptotic formula for sum-free sets in abelian groups”

Abelian profinite groups

Krzysztof Krupiński (2005)

Fundamenta Mathematicae

Similarity:

Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups

David B. Penman, Matthew D. Wells (2014)

Acta Arithmetica

Similarity:

We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...