Factoring Finite Abelian Groups by Subsets with Maximal Span
Sándor Szabó · SIAM Journal on Discrete Mathematics · 2006
We say that a finite abelian group has the Rédei property if it does not admit factorization into two normalized subsets that both span the whole group. It will be shown that subgroups inherit the Rédei property from the group. Then four constructions are described to exhibit groups without the Rédei property. Using these we further narrow the list of p‐groups that might have the Rédei property.