Simulated factorizations II

Abstract

Summary. A factorization of a finite abelian group is said to be simulated if it is obtained from a factorization into a direct product of subgroups by changing at most k elements in each subgroup. The question has been asked as to which values of k imply that in fact at least one subgroup must be left unaltered. This has been shown to be true for k = 1 but to be false, in general,