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

DOI10.1016/j.ejc.2004.06.014zbMath1077.20044OpenAlexW1970292929MaRDI QIDQ2567280

Jujuan Zhuang, Weidong Gao

Publication date: 29 September 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.06.014

zbMATH Keywords

zero-sum sequences

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75)

Related Items (20)

On a conjecture of the small Davenport constant for finite groups ⋮ On a conjecture of Zhuang and Gao ⋮ The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. ⋮ Extremal product-one free sequences and \(|G|\)-product-one free sequences of a metacyclic group ⋮ The Erdős-Ginzburg-Ziv theorem for finite solvable groups. ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ Extremal product-one free sequences over \(C_n \rtimes_sC_2\) ⋮ Extremal product-one free sequences in dihedral and dicyclic groups ⋮ Behaving sequences ⋮ On sequences without short zero-sum subsequences ⋮ The Main Zero-Sum Constants over \({\boldsymbol{D}}\) _2n \({\boldsymbol{\times C_2}}\) ⋮ A note on Bass' conjecture ⋮ On the direct and inverse zero-sum problems over \(C_n \rtimes_s C_2\) ⋮ Erdős-Ginzburg-Ziv theorem and Noether number for \(C_m \ltimes_\varphi C_{mn}\) ⋮ Harborth constants for certain classes of metacyclic groups ⋮ The Erdős-Ginzburg-Ziv theorem for dihedral groups. ⋮ Improving the Erdős-Ginzburg-Ziv theorem for some non-Abelian groups. ⋮ Extremal product-one free sequences in \(C_q\rtimes_s C_m\) ⋮ The Erdős-Ginzburg-Ziv theorem for finite nilpotent groups ⋮ On the invariant $\mathsf E(G)$ for groups of odd order

Cites Work

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• A variant of Kemnitz conjecture
• Bounds for counter-examples to addition theorems in solvable groups
• On a combinatorial problem of Erdős, Ginzburg, and Ziv
• A combinatorial problem on finite abelian groups
• A Generalization of an Addition Theorem for Solvable Groups
• Cyclic Spaces for Grassmann Derivatives and Additive Theory

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