The number of k-sums of abelian groups of order k
نویسندگان
چکیده
منابع مشابه
Sums and k-sums in abelian groups of order k
Let G be an abelian group of order k. How is the problem of minimizing the number of sums from a sequence of given length in G related to the problem of minimizing the number of k-sums? In this paper we show that the minimum number of k-sums for a sequence a1, . . . , ar that does not have 0 as a k-sum is attained at the sequence b1, . . . , br−k+1,0, . . . ,0, where b1, . . . , br−k+1 is chose...
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Given a finite subset A of an abelian group G, we study the set k ∧ A of all sums of k distinct elements of A. In this paper, we prove that |k ∧A| > |A| for all k ∈ {2, . . . , |A| − 2}, unless k ∈ {2, |A| − 2} and A is a coset of an elementary 2-subgroup of G. Furthermore, we characterize those finite sets A ⊆ G for which |k ∧ A| = |A| for some k ∈ {2, . . . , |A| − 2}. This result answers a q...
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چکیده ندارد.
15 صفحه اولcertain finite abelian groups with the redei $k$-property
three infinite families of finite abelian groups will be described such that each member of these families has the r'edei $k$-property for many non-trivial values of $k$.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2004
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa112-2-1