On the order of elements in long minimal zero-sum sequences

被引:0
|
作者
Gao W. [1 ]
Geroldinger A. [2 ]
机构
[1] Department of Computer Science and Technology, University of Petroleum, Changping, Beijing 102200, Shuiku Road
[2] Institut für Mathematik, Karl-Franzens Universität, 8010 Graz
关键词
Finite abelian groups; Zero-sum sequences;
D O I
10.1023/A:1014923902367
中图分类号
学科分类号
摘要
Let G be a finite abelian group and S = Πil=1 gi a minimal zero-sum sequence in G of maximal length |S| = l. We study the order of the elements g1, . . . , gl. © Akadémiai Kiadó.
引用
收藏
页码:63 / 73
页数:10
相关论文
共 50 条
  • [42] SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES II
    Yuan, Pingzhi
    ARS COMBINATORIA, 2014, 116 : 433 - 444
  • [43] Linear Recurring Sequences over Zero-Sum Semirings
    Ngom, Lamine
    Diankha, Omar
    Sow, Djiby
    NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, 2016, 160 : 227 - 238
  • [44] Zero-sum subsequences in bounded-sum {-1,1}-sequences
    Caro, Yair
    Hansberg, Adriana
    Montejano, Amanda
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 161 : 387 - 419
  • [45] Zero-Sum Copies of Spanning Forests in Zero-Sum Complete Graphs
    Mohr, Elena
    Pardey, Johannes
    Rautenbach, Dieter
    GRAPHS AND COMBINATORICS, 2022, 38 (05)
  • [46] Zero-Sum Copies of Spanning Forests in Zero-Sum Complete Graphs
    Elena Mohr
    Johannes Pardey
    Dieter Rautenbach
    Graphs and Combinatorics, 2022, 38
  • [47] Tiny zero-sum sequences over some special groups
    Wang, Linlin
    OPEN MATHEMATICS, 2020, 18 : 820 - 828
  • [48] ON TINY ZERO-SUM SEQUENCES OVER FINITE ABELIAN GROUPS
    Gao, Weidong
    Hui, Wanzhen
    Li, Xue
    Qin, Xiaoer
    Yin, Qiuyu
    COLLOQUIUM MATHEMATICUM, 2022, 168 (02) : 311 - 324
  • [49] On the Davenport constant and on the structure of extremal zero-sum free sequences
    Geroldinger, Alfred
    Liebmann, Manfred
    Philipp, Andreas
    PERIODICA MATHEMATICA HUNGARICA, 2012, 64 (02) : 213 - 225
  • [50] A RECIPROCITY ON FINITE ABELIAN GROUPS INVOLVING ZERO-SUM SEQUENCES
    Han, Dongchun
    Zhang, Hanbin
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2021, 35 (02) : 1077 - 1095