Complete decompositions of finite abelian groups

DOI10.1007/S00200-018-0371-1zbMath1418.05020OpenAlexW2890795648MaRDI QIDQ2002151

Huey Voon Chen, Angelina Yan Mui Chin

Publication date: 11 July 2019

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-018-0371-1

zbMATH Keywords

cyclic groupabelian groupcomplete decomposition

Mathematics Subject Classification ID

Partitions of sets (05A18) Finite abelian groups (20K01) Additive bases, including sumsets (11B13)

Related Items (4)

On the size of complete decompositions of finite cyclic groups ⋮ Complete factorizations of finite abelian groups ⋮ Complete decomposition of the generalized quaternion groups ⋮ Complete decompositions of Abelian groups

Cites Work

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• Thin bases for finite abelian groups
• New approaches to designing public key cryptosystems using one-way functions and trapdoors in finite groups
• Completing codes and the Rédei property of groups
• Splittings of cyclic groups and perfect shift codes

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