
Let \(S+T\) denote the Minkowski sum of the sets \(S\) and \(T\). Let \(G\) be a finite cyclic group with a factorization \(G=S_1\oplus S_2\oplus\cdots\oplus S_k\), where \(|S_i|\) is a prime or a product of two primes for all \(i\). The author shows that there is \(i\) such that \(S_i\) is periodic.
Finite abelian groups, finite cyclic groups, Algebra and Number Theory, Abelian group, periodic factors, Tilings in \(n\) dimensions (aspects of discrete geometry), group factorizations, Factorization, finite Abelian groups, Arithmetic and combinatorial problems involving abstract finite groups
Finite abelian groups, finite cyclic groups, Algebra and Number Theory, Abelian group, periodic factors, Tilings in \(n\) dimensions (aspects of discrete geometry), group factorizations, Factorization, finite Abelian groups, Arithmetic and combinatorial problems involving abstract finite groups
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