容许对称群的有限2-弧传递图（英文）

张莉; 王改霞

doi:10.13568/j.cnki.651094.651316.2022.10.23.0001

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容许对称群的有限2-弧传递图（英文）

数理科学 | 更新时间：2026-01-21

- 容许对称群的有限2-弧传递图（英文）
- 容许对称群的有限2-弧传递图（英文）
- 新疆大学学报（自然科学版中英文） 2023年40卷第5期页码：543-549
- 作者机构：
  
  安徽工业大学微电子与数据科学学院
- 作者简介：
- 基金信息：
  
  supported by National Natural Science Foundation of the People’s Republic of China “On the symmetries and local properties of graphs with square-free order”(11601005);Anhui Provincial Science Fund for Excellent Young Scholars “On the symmetries of edge-primitive graphs with square-free order”(gxyq2020011)
- DOI：10.13568/j.cnki.651094.651316.2022.10.23.0001
  中图分类号： O157.5;O152
- 纸质出版：2023
- 稿件说明：
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[1]张莉,王改霞.容许对称群的有限2-弧传递图（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(05):543-549.
[1]张莉,王改霞.容许对称群的有限2-弧传递图（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(05):543-549. DOI： 10.13568/j.cnki.651094.651316.2022.10.23.0001.

DOI：10.13568/j.cnki.651094.651316.2022.10.23.0001.

摘要

如果图Γ至少有一个2-弧且其自同构群在点集和2-弧集合上是传递的

则称该图为2-弧传递图.设G是基柱为交错群Ac(其中c≥5)的几乎单群

利用陪集图概念构造无平方因子阶的(G

2)-弧传递图.再通过分析自同构群和其点稳定子群的子群链结构

给出了该类图的分类.

Abstract

The graph Γ is said to be 2-arc-transitive if it has at least one 2-arc and Aut(Γ) is transitive on both the vertices and2-arcs of Γ. Let G be an almost simple group with soc(G) = Acfor c ≥ 5

we use the concept of coset graph to construct the graphs with square-free order and(G

2)-arc-transitive. Then by analyzing the subgroup chain structures between vertex-stabilizer subgroups and their automorphism groups

a classification of the(G

2)-arc transitive graphs of square-free order was given.

关键词

Keywords

references

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