کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424335 1632785 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Subset sums in abelian groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Subset sums in abelian groups
چکیده انگلیسی

Denoting by Σ(S) the set of subset sums of a subset S of a finite abelian group G, we prove that |Σ(S)|⩾|S|(|S|+2)4−1 whenever S is symmetric, |G| is odd and Σ(S) is aperiodic. Up to an additive constant of 2 this result is best possible, and we obtain the stronger (exact best possible) bound in almost all cases. We prove similar results in the case |G| is even. Our proof requires us to extend a theorem of Olson on the number of subset sums of anti-symmetric subsets S from the case of Zp to the case of a general finite abelian group. To do so, we adapt Olson's method using a generalisation of Vosper's Theorem proved by Hamidoune and Plagne.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 34, Issue 8, November 2013, Pages 1269-1286
نویسندگان
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