Long \(n\)-zero-free sequences in finite cyclic groups
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Publication:2463463
DOI10.1016/j.disc.2007.03.049zbMath1165.11026arXivmath/0604356OpenAlexW4210498772MaRDI QIDQ2463463
Publication date: 12 December 2007
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604356
Other combinatorial number theory (11B75) Finite abelian groups (20K01) Ramsey theory (05D10) Additive bases, including sumsets (11B13)
Related Items (16)
Direct zero-sum problems for certain groups of rank three ⋮ The Erdős-Ginzburg-Ziv theorem for finite solvable groups. ⋮ Unnamed Item ⋮ On the structure of n-zero-sum free sequences over cyclic groups of order n ⋮ Unnamed Item ⋮ On zero-sum subsequences of prescribed length ⋮ On the existence of zero-sum subsequences of distinct lengths ⋮ Onn-Sums in an Abelian Group ⋮ Indexes of long zero-sum sequences over cyclic groups ⋮ On zero-sum subsequences of length \(k \exp(G)\) ⋮ On the structure of long zero-sum free sequences and \(n\)-zero-sum free sequences over finite cyclic groups ⋮ Zero-sum subsequences of length \(kq\) over finite abelian \(p\)-groups ⋮ Sums of sets of abelian group elements ⋮ Two zero-sum invariants on finite abelian groups ⋮ Classification theorems for sumsets modulo a prime ⋮ On zero-sum subsequences of length \(k\exp(G)\). II
Cites Work
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- On the Erdős-Ginzburg-Ziv theorem and the Ramsey numbers for stars and matchings
- An addition theorem for finite cyclic groups
- On the structure of \(p\)-zero-sum free sequences and its application to a variant of Erdős-Ginzburg-Ziv theorem
- Addition theorems for finite abelian groups
- Long zero-free sequences in finite cyclic groups.
- A Generalization of an Addition Theorem for Solvable Groups
- Zero Sums in Abelian Groups
- On some developments of the Erdős–Ginzburg–Ziv Theorem II
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