Generating abelian groups by addition only

DOI10.1515/FORUM.2009.002zbMath1172.20038arXiv0911.2966OpenAlexW2963974621MaRDI QIDQ3603871

Vsevolod F. Lev, Benjamin Klopsch

Publication date: 19 February 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2966

zbMATH Keywords

generating setsfinite Abelian groupsdiameters

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite abelian groups (20K01)

Related Items (6)

Direct and inverse theorems on signed sumsets of integers ⋮ On Lattice Width of Lattice-Free Polyhedra and Height of Hilbert Bases ⋮ The minimum size of signed sumsets ⋮ Stability result for sets with \(3A \neq \mathbb{Z}_5^n\) ⋮ On the minimum size of signed sumsets in elementary abelian groups ⋮ Answers to two questions posed by Farhi concerning additive bases

Cites Work

• On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists
• Large Cayley graphs on an abelian group
• How long does it take to generate a group?
• Generating binary spaces.
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
• On the diameter and bisector size of Cayley graphs

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