Combinatorial identities for enumerations of equivalent classes with action of group on set

TANG Shangang

doi:10.13471/j.cnki.acta.snus.2019.05.017

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Combinatorial identities for enumerations of equivalent classes with action of group on set

更新时间：2023-12-11

- Combinatorial identities for enumerations of equivalent classes with action of group on set
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 58, Issue 5, Pages: 137-144(2019)
- 作者机构：
  
  西华师范大学数学与信息学院,四川,南充,637009
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2019.05.017
  CLC：
- Published：2019，
  
  Published Online：25 September 2019，
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TANG Shangang. Combinatorial identities for enumerations of equivalent classes with action of group on set. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 58(5):137-144(2019)
DOI：

TANG Shangang. Combinatorial identities for enumerations of equivalent classes with action of group on set. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 58(5):137-144(2019) DOI： 10.13471/j.cnki.acta.snus.2019.05.017.

摘要

应用Burnside-Polya计数方法与容斥原理等组合分析方法研究一类与群作用于集合的等价类的计数有关的组合恒等式，具体得到恒等群、循环群与二面体群作用下的一类映射的等价类的计数有关的组合恒等式，拓展了已有文献的研究结果。

Abstract

By using Burnside-Polya enumerating method

principle of inclusion-exclusion and other combinatorial analysis

a class of combinatorial identities for equivalent classes with action of group on set are studied. Some combinatorial identities for enumerations of equivalent classes of a class of mapping under identical transformation group and cycle group and dihedral group actions are obtained. These results generalize some known results.

关键词

群作用于集合容斥原理Burnside-Polya计数法映射等价类组合恒等式

Keywords

action of group on setprinciple of inclusion-exclusionBurnside-Polya enumerating methodmappingequivalent classcombinatorial identities

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XU Wei

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．南京航空航天大学经济与管理学院

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