Zero-sum invariants on finite abelian groups with large exponent
文献类型：期刊论文
| 作者 | Han, Dongchun1; Zhang, Hanbin2 |
| 刊名 | DISCRETE MATHEMATICS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 342期号:12页码:7 |
| 关键词 | Davenport constant Erdos-Ginzburg-Ziv constant Zero-sum theory Finite abelian group |
| ISSN号 | 0012-365X |
| DOI | 10.1016/j.disc.2019.111617 |
| 英文摘要 | Let G be an additive finite abelian group with exponent n. Let D(G) be the Davenport constant of G, s(kn)(G) the kth Erdos-Ginzburg-Ziv constant of G, where k is a positive integer. Recently, Gao, Han, Peng and Sun conjectured that s(kn)(G) = kn + D(G) - 1 holds if k >= inverted right perpendicular D(G)/n inverted left perpendicular Let m, n be positive integers and H an abelian p-group with D(H) <= p(n). Let G = H circle plus C-mpn. For any integer k >= 2, we prove that s(kmpn)(G) = (k +1)mp(n) + D(H) -2 = kmp(n) + D(G) -1. This verifies the above conjecture in this case. We also provide asymptotically tight bounds for zero-sum invariants D(G), s(kn)(G) and eta(G) for a class of abelian groups with large exponent. (C) 2019 Elsevier B.V. All rights reserved. |
| 资助项目 | National Science Foundation of China[11601448] ; Fundamental Research Funds for the Central Universities[2682016CX121] ; China Postdoctoral Science Foundation[2017M620936] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000494885600023 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50684]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Hanbin |
| 作者单位 | 1.Southwest Jiaotong Univ, Dept Math, Chengdu 610000, Sichuan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Dongchun,Zhang, Hanbin. Zero-sum invariants on finite abelian groups with large exponent[J]. DISCRETE MATHEMATICS,2019,342(12):7. |
| APA | Han, Dongchun,&Zhang, Hanbin.(2019).Zero-sum invariants on finite abelian groups with large exponent.DISCRETE MATHEMATICS,342(12),7. |
| MLA | Han, Dongchun,et al."Zero-sum invariants on finite abelian groups with large exponent".DISCRETE MATHEMATICS 342.12(2019):7. |
入库方式： OAI收割
来源：数学与系统科学研究院
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