Constructions Related to the Rédei Property of Groups
نویسنده
چکیده
We say that a finite abelian group does not have the Rédei property if it can be expressed as a direct product of two of its subsets such that both subsets contain the identity element and both subsets span the whole group. It will be shown that only a small fraction of the finite abelian groups can have the Rédei property. For groups of odd order an explicit list of the possible exceptions is compiled.
منابع مشابه
CERTAIN FINITE ABELIAN GROUPS WITH THE RÉDEI k-PROPERTY
Three infinite families of finite abelian groups will be described such that each member of these families has the Rédei k-property for many non-trivial values of k.
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تاریخ انتشار 2006