ELEMENTARY p-GROUPS WITH THE RÉDEI PROPERTY

DOI10.1142/S0218196707003536zbMath1118.20052OpenAlexW2001753071MaRDI QIDQ5292272

Patric R. J. Östergård, Sándor Szabó

Publication date: 20 June 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196707003536

zbMATH Keywords

factorizations of finite Abelian groupsRédei propertyexact coversfull-rank tilings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (4)

An enumeration of 1-perfect ternary codes ⋮ Projective tilings and full-rank perfect codes ⋮ SMALL p-GROUPS WITH FULL-RANK FACTORIZATION ⋮ Full-rank factorings of elementary \(p\)-groups by \(Z\)-subsets.

Cites Work

• Around Rédei's theorem
• A type of factorization of finite Abelian groups
• Completing codes and the Rédei property of groups
• Solution to a problem of A. D. Sands
• On Keller's conjecture for certain cyclic groups
• On Perfect Codes and Tilings: Problems and Solutions
• Factoring elementary groups of prime cube order into subsets
• Resolving the Existence of Full-Rank Tilings of Binary Hamming Spaces
• Tilings of Binary Spaces
• Full Rank Tilings of Finite Abelian Groups
• CONSTRUCTIONS RELATED TO THE RÉDEI PROPERTY OF GROUPS
• Die neue Theorie der endlichen abelschen Gruppen und Verallgemeinerung des Hauptsatzes von Hajós
• Backtrack Programming

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