Browsing Waterloo Research by Subject "finite abelian groups"
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A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression
(Springer, 2009-01-31)Let r1, . . . , rs be non-zero integers satisfying r1 + · · · + rs = 0. Let G Z/k1Z⊕· · ·⊕Z/knZ be a finite abelian group with ki |ki−1(2 ≤ i ≤ n), and suppose that (ri , k1) = 1(1 ≤ i ≤ s). Let Dr(G) denote the maximal ...