Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Penman D., Wells M.

Acta Arithmetica

2014

tom 165

nr 4

361-383

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 estimates of the number of restricted-sum-dominant sets in finite abelian groups under mild conditions.

Ograniczanie wyników

1 Acta Arithmetica

1 Penman D.

1 Wells M.

1 2014

Wyniki wyszukiwania

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