Search Results

You are looking at 1 - 2 of 2 items for :

  • Author or Editor: David J. Grynkiewicz x
  • Mathematics and Statistics x
  • Refine by Access: All Content x
Clear All Modify Search
Acta Mathematica Hungarica
Authors:
Alfred Geroldinger
,
David J. Grynkiewicz
, and
Wolfgang A. Schmid

Abstract

For a finite abelian group G and a positive integer d, let s d(G) denote the smallest integer ∊ℕ0 such that every sequence S over G of length |S|≧ has a nonempty zero-sum subsequence T of length |T|≡0 mod d. We determine s d(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.

Restricted access