|Table of Contents|

 A Property on Minimal Zero-sum
Subsequence in C8 C8
(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年06期
Page:
113-115
Research Field:
材料科学与工程
Publishing date:

Info

Title:
 A Property on Minimal Zero-sum
Subsequence in C8 C8
Author(s):
 ZHANG Hai-yan1 LIU Geng2
 ( 1. Department of Mathematics,Harbin University of Science and Technology,Harbin 150080,China;
2. Rongcheng College,Harbin University of Science and Technology,Harbin 150080,China )
Keywords:
 abelian group zero-sum subsequence Property B
PACS:
O156. 1
DOI:
10. 15938 /j. jhust. 2017. 06. 021
Abstract:
 We say a positive integer n has Property B if every minimal zero-sum subsequence of 2n - 1
elements in CnCn contains some elements n - 1 times. Property B is a central topic in zero-sum theory on abelian
group G with rank two. Property B has been first formulated and investigated by professer W. D. Gao and A.
Geroldinger in [1 - 3]. It has been proved that if n≥6 and if n has Property B,then 2n has Property B. It has been
also proved that if n∈{ 2,3
,4
,5
,6
,7
} ,then n has property B[4 - 6]. In [7],we proved that n = 10 has Property
B. In this paper,we will verify that n = 8 has Property B.

References:

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Last Update: 2018-03-10