-sum Generators of Finite Abelian Groups
نویسندگان
چکیده
Given a finite Abelian group A and an integer t, 1 ≤ t ≤ A −1, a subset S of A is called a t-sum generator of A if every element of A can be written as the sum of exactly t distinct elements of S. In this paper we investigate the minimal integer M(t, A) such that every set S ⊆ A of size S > M(t, A) is a t-sum generator of A. The value of M(t, A) is completely determined for groups of even order.
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تاریخ انتشار 2016