• Erdős–Ginzburg–Ziv theorem for...

Result: Erdős–Ginzburg–Ziv theorem for dihedral groups of large prime index: Erdős-Ginzburg-Ziv theorem for dihedral groups of large prime index.

Title:
Erdős–Ginzburg–Ziv theorem for dihedral groups of large prime index: Erdős-Ginzburg-Ziv theorem for dihedral groups of large prime index.
Authors:
Jujuan Zhuang, Weidong Gao
Source:
European Journal of Combinatorics. 26:1053-1059
Publisher Information:
Elsevier BV, 2005.
Publication Year:
2005
Subject Terms:
zero-sum sequences, Computational Theory and Mathematics, Other combinatorial number theory, Geometry and Topology, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, Theoretical Computer Science
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0195-6698
DOI:
10.1016/j.ejc.2004.06.014
Access URL:
https://zbmath.org/2211444
https://doi.org/10.1016/j.ejc.2004.06.014
https://www.sciencedirect.com/science/article/abs/pii/S019566980400109X
https://core.ac.uk/display/82302263
https://dblp.uni-trier.de/db/journals/ejc/ejc26.html#ZhuangG05
https://www.sciencedirect.com/science/article/pii/S019566980400109X
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....95afb3bf1b317b9f5e9967aab2190d4d
Database:
OpenAIRE

Further Information

Let \(G\) be a finite Abelian group of order \(n\) and Davenport constant \(d\). A well known result of W.~Gao states that any sequence of elements of \(G\) with length \(n+d-1\) has an \(n\)-subsequence summing to \(0\). The authors investigate generalizations to this result in the non-Abelian case.