Search Results
You are looking at 1 - 2 of 2 items for
- Author or Editor: David J. Grynkiewicz x
- Refine by Access: All Content x
Abstract
For a finite abelian group G and a positive integer d, let s dℕ(G) denote the smallest integer ℓ∊ℕ0 such that every sequence S over G of length |S|≧ℓ has a nonempty zero-sum subsequence T of length |T|≡0 mod d. We determine s dℕ(G) for all d≧1 when G has rank at most two and, under mild conditions on d, also obtain precise values in the case of p-groups. In the same spirit, we obtain new upper bounds for the Erdős–Ginzburg–Ziv constant provided that, for the p-subgroups G p of G, the Davenport constant D(G p ) is bounded above by 2exp (G p )−1. This generalizes former results for groups of rank two.
