Sums of sets of abelian group elements
Document Type
Lecture
Publication Date
10-19-2022
Abstract
Let G be an additive abelian group and let S be a subset of G. Let Σ(S) denote the set of elements of G which can be expressed as a sum of a nonempty subset of S. We prove that |Σ(S)| ≥ 1/6k2 if 0∉ Σ(S) which improved a well-known result by Olson who proved that |Σ(S)| ≥ 1/9k2 in 1976.
Relational Format
presentation
Recommended Citation
Liu, Chao, "Sums of sets of abelian group elements" (2022). Algebra/Number Theory Seminar. 15.
https://egrove.olemiss.edu/math_algebra_number_theory/15
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