The Structure of Unsplittable Atoms over  C<sub>2</sub>⊕C<sub>2n</sub>

GUAN Huanhuan; YUAN Pingzhi

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The Structure of Unsplittable Atoms over C₂⊕C_2n

更新时间：2023-12-11

- The Structure of Unsplittable Atoms over C₂⊕C_2n
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 5, Pages: 78-81(2013)
- 作者机构：
  
  1. 贵州财经大学数学与统计学院,贵州,贵阳,550025
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 October 2013，
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GUAN Huanhuan, YUAN Pingzhi. The Structure of Unsplittable Atoms over C₂⊕C_2n. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(5):78-81(2013)
DOI：

GUAN Huanhuan, YUAN Pingzhi. The Structure of Unsplittable Atoms over C₂⊕C_2n. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(5):78-81(2013) DOI：

摘要

设G是有限阿贝尔群，S是群G上一个序列，称S是可分的原子，如果S=(g

)T，其中g

∈G

T∈F(G)满足S∈A(G)且g

T∈A(G) 。设G =C

⊕C

是秩为2的有限阿贝尔群，且S是群G上长度为n+4的不可分原子，给出了群C

⊕C

上不可分原子S的的具体结构。

Abstract

Let G be a finite Abelian group

and let S be a sequence over G. A sequence S is called a splittable atom if S=(g

)T for some g

∈G and T∈F(G) such that S∈A(G) and g

T∈A(G) . Suppose that G =C

⊕C

. An exhaustive list detailing the precise structure of S is given

where S is unsplittable with length no less than n+4.

关键词

有限阿贝尔群Davenport常数零和序列不可分

Keywords

finite Abelian groupDavenport's constantzero-sum sequencesunsplittable

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The Structure of Unsplittable Atoms over C2⊕C2n

DOI：

摘要

Abstract

关键词

Keywords

references

The Structure of Unsplittable Atoms over C₂⊕C_2n