On the size of complete decompositions of finite cyclic groups

• Main Authors: Chin, A. Y. M., Wang, K. L., Wong, Kok Bin
• Format: Article
• Published: Taylor & Francis Inc 2022
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/42021/

Let G be an abelian group and A(1), ..., A(k) (k >= 2) be nonempty subsets of G. The sets A(1), ..., A(k) are said to form a complete decomposition of G of order k if G = A(l) + ... + A(k) and A(1), ..., A(k) are pairwise disjoint. The size of a complete decomposition A(1), ..., A(k) of G is defi...