The Erdős-Ginzburg-Ziv theorem for finite solvable groups.

DOI10.1016/j.jpaa.2009.08.003zbMath1195.20026OpenAlexW2005177185MaRDI QIDQ847688

Weidong Gao, Yuan Lin Li

Publication date: 19 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.08.003

zbMATH Keywords

finite solvable groupsDavenport constantErdős-Ginzburg-Ziv theoremzero sum sequences1-product sequences

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75)

Related Items (13)

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 ⋮ On product-one sequences over dihedral groups ⋮ On the structure of n-zero-sum free sequences over cyclic groups of order n ⋮ On generalized Narkiewicz constants of finite abelian groups ⋮ On the algebraic and arithmetic structure of the monoid of product-one sequences ⋮ On Erdős-Ginzburg-Ziv inverse theorems for dihedral and dicyclic groups ⋮ Erdős-Ginzburg-Ziv theorem and Noether number for \(C_m \ltimes_\varphi C_{mn}\) ⋮ Erdős-Ginzburg-Ziv theorem for finite commutative semigroups. ⋮ The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics ⋮ The Erdős-Ginzburg-Ziv theorem for finite nilpotent groups ⋮ On the invariant $\mathsf E(G)$ for groups of odd order

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• Erdős-Ginzburg-Ziv theorem for dihedral groups of large prime index.
• A Generalization of an Addition Theorem for Solvable Groups
• Conditions for a Zero Sum Modulo n
• On Subsequence Weighted Products

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