Factoring abelian groups into uniquely complemented subsets

DOI10.1515/JGT.2010.046zbMath1241.20062OpenAlexW2048607137MaRDI QIDQ3007964

Sándor Szabó, Keresztély Corrádi

Publication date: 17 June 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.046

zbMATH Keywords

finite Abelian groupsdirect products of subsetsfactorizationsuniquely complemented subsets

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Inverse problems of additive number theory, including sumsets (11P70)

Cites Work

• Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Würfelgitter
• A generalized form of hajós' theorem
• Die neue Theorie der endlichen abelschen Gruppen und Verallgemeinerung des Hauptsatzes von Hajós
• Factoring an infinite Abelian group by subsets.