On subsets of abelian groups with no 3-term arithmetic progression

Frankl, P [Frankl, Péter (kombinatorika), author]; Graham, RL; Rödl, V

English Article (Journal Article) Scientific
Published: JOURNAL OF COMBINATORIAL THEORY SERIES A 0097-3165 1096-0899 45 (1) pp. 157-161 1987
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    Subjects:
    • Mathematics
    • Computer and information sciences
    A short proof of the following result of Brown and Buhler is given: For any ε{lunate} > 0 there exists n0 = n0(ε{lunate}) such that if A is an abelian group of odd order |A| > n0 and B ⊆ A with |B| > ε{lunate}|A|, then B must contain three distinct elements x, y, z satisfying x + y = 2z. © 1987.
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    2025-04-07 03:04