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Addition theorems in elementary Abelian groups, I

Name: Addition theorems in elementary Abelian groups, I
Creator: Chuang Peng
Keywords: Additive bases, including sumsets, Finite abelian groups, Algebra and Number Theory, addition theorems, elementary abelian groups, Olson's conjecture, 0101 mathematics, 01 natural sciences

Addition theorems in elementary abelian groups. I, II

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1987 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 27, pages 46-57 (issn: 0022-314X,

Authors: Chuang Peng;

doi: 10.1016/0022-314x(87)90050-3 , 10.1016/0022-314x(87)90051-5

Addition theorems in elementary Abelian groups, I

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Abstract

Let \(G\) be a commutative finite group. Given a sequence \(S=(a_1,\ldots,a_n)\) of elements of \(G\), \(a_i\neq 1\), define \[ \Sigma (S)=\{a_{i_1} a_{i_2}\cdots a_{i_k}: 1\leq i_1

Related Organizations

BEIJING NORMAL UNIVERSITY
China (People's Republic of)
Beijing Normal University (Chine)
China (People's Republic of)
Department of Mathematics
Beijing Normal University
Neijiang Normal University
China (People's Republic of)

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Keywords

Additive bases, including sumsets, Finite abelian groups, Algebra and Number Theory, addition theorems, elementary abelian groups, Olson's conjecture

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