RESEARCH ARTICLE

Inverse problems associated with subsequence sums in GpCp

  • Jiangtao PENG 1 ,
  • Yongke QU 2 ,
  • Yuanlin LI , 3
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  • 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

Received date: 08 Aug 2020

Accepted date: 22 Oct 2020

Published date: 15 Oct 2020

Copyright

2020 Higher Education Press

Abstract

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(S)0; where (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 (S) when S is a regular sequence or a zero-sum free sequence over G=GpCp, where p is a prime.

Cite this article

Jiangtao PENG , Yongke QU , Yuanlin LI . Inverse problems associated with subsequence sums in GpCp[J]. Frontiers of Mathematics in China, 2020 , 15(5) : 985 -1000 . DOI: 10.1007/s11464-020-0869-2

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