Multifold factorizations of cyclic groups into subsets

DOI10.1016/j.ffa.2018.11.007zbMath1407.05045OpenAlexW2904358841WikidataQ114179477 ScholiaQ114179477MaRDI QIDQ1734667

Miwako Mishima, Junya Satoh, Masakazu Jimbo, Kohei Yamada

Publication date: 27 March 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.11.007

zbMATH Keywords

cyclotomic polynomialsperiodic factorcomplement factor problemfactorizations of cyclic groupsmultifold factorizations

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (2)

Partitions of the lines in \(\mathrm{PG}( 2 n - 1, s)\) into multifold spreads for \(s = 3, 4\) ⋮ Hadamard partitioned difference families and their descendants

Cites Work

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• Multiple factorizations by cyclic subsets
• Direct sum subset decompositions of Z
• Tesselation of integers
• Tiling the integers with translates of one finite set
• Hajós' theorem for multiple factorizations
• A packing problem its application to Bose's families
• Die neue Theorie der endlichen abelschen Gruppen und Verallgemeinerung des Hauptsatzes von Hajós
• Sur le problème de factorisation des groupes cycliques

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