Inverse problems associated with subsequence sums in Cp■Cp  

作　　者：Jiangtao PENG Yongke QU Yuanlin LI 

机构地区：[1]College of Science,Civil Aviation University of China,Tianjin 300300,China [2]Department of Mathematics,Luoyang Normal University,Luoyang 471934,China [3]Department of Mathematics and Statistics,Brock University,St.Catharines,ON L2S 3A1,Canada

出　　处：《Frontiers of Mathematics in China》2020年第5期985-1000,共16页中国高等学校学术文摘·数学（英文）

基　　金：supported in part by the Fundamental Research Funds for the Central Universities(No.3122019152);the National Natural Science Foundation of China(Grant Nos.11701256,11871258);the Youth Backbone Teacher Foundation of Henan's University(No.2019GGJS196);the China Scholarship Council(Grant No.201908410132);was also supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada(Grant No.RGPIN 2017-03903).

摘　　要：Let G be a finite abelian group and S be a sequence with elements of G.We say that S is a regular sequence over G if|SH|≤|H|-1 holds for every proper subgroup H of G,where SH denotes the subsequence of S consisting of all terms of S contained in H.We say that S is a zero-sum free sequence over G if 0■Σ(S),where Σ(S)■G denotes the set of group elements which can be expressed as a sum of a nonempty subsequence of S.In this paper,we study the inverse problems associated with Σ(S)when S is a regular sequence or a zero-sum free sequence over G=Cp■Cp,where p is a prime.

关 键 词：Inverse problems subsequence sums regular sequences zZero-sumfree sequences 

分 类 号：O15[理学—数学]