Structure of a sequence with prescribed zero-sum subsequences: rank two \(p\)-groups

DOI10.1016/j.ejc.2023.103888arXiv2211.08515MaRDI QIDQ6201881

David J. Grynkiewicz, John J. Ebert

Publication date: 26 March 2024

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

Full work available at URL: https://arxiv.org/abs/2211.08515

Mathematics Subject Classification ID

Abelian groups (20Kxx) Sequences and sets (11Bxx) Additive number theory; partitions (11Pxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of zero-sum subsequences of distinct lengths
• On the Olson and the strong Davenport constants
• On zero-sum subsequences of length not exceeding a given number
• The inverse problem associated to the Davenport constant for \(C_2 \oplus C_2 \oplus C_{2n}\), and applications to the arithmetical characterization of class groups
• Remarks on a generalization of the Davenport constant
• On zero-sum subsequences in a finite abelian \(p\)-group of length not exceeding a given number
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• Inverse problems associated with subsequence sums in \(C_p \oplus C_p\)
• A multiplicative property for zero-sums. I
• A multiplicative property for zero-sums. II
• On subsequence sums of a zero-sum free sequence over finite abelian groups
• On the Harborth constant of \(C_3 \oplus C_{3p}\)
• Normal sequences over finite abelian groups
• Products of two atoms in Krull monoids and arithmetical characterizations of class groups.
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• On products of \(k\) atoms. II.
• A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS
• Inverse zero-sum problems and algebraic invariants
• Inverse zero-sum problems II
• Inductive Methods and Zero-Sum Free Sequences
• Product-one subsequences over subgroups of a finite group
• A characterization of class groups via sets of lengths
• Onn-Sums in an Abelian Group
• Some remarks on Davenport constant

This page was built for publication: Structure of a sequence with prescribed zero-sum subsequences: rank two \(p\)-groups