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Growth of Sumsets in Abelian Semigroups

✍ Scribed by Melvyn B. Nathanson


Book ID
105744440
Publisher
Springer
Year
2000
Tongue
English
Weight
226 KB
Volume
61
Category
Article
ISSN
0037-1912

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Let G be a group. We study the minimal sumset (or product set) size ΞΌ G (r, s) = min{|A β€’ B|}, where A, B range over all subsets of G with cardinality r, s respectively. The function ΞΌ G has recently been fully determined in [S. Eliahou, M. Kervaire, A. Plagne, Optimally small sumsets in finite abel