基柱为PSL(3,4)的几乎单群的边本原图
Edge-primitive graphs for an almost simple group with socle PSL(3,4)
云南民族大学学报:自然科学版,2016,25(6):554-557

杨晋龙 YJL

摘要


设Γ是一个图,若群G作用在图Γ的顶点集上保持边的连接关系,则称群G是图Γ的自同构群.进一步,若G作用在图Γ的边集上是本原的,则称图Γ是G-边本原图.边本原图是一类重要的对称图.通过构造陪集图的方法来研究边本原图,并给出基柱为PSL(3,4)的几乎单群的边本原图的分类. Let Γ be a graph. An element G of Sym(V)  is called an automorphism of Γ. If G preserves the adjacency of Γ . The set of all the automorphism of Γ forms a subgroup of Sym(V), called the full automorphism of the group of Γ, and is denoted as Aut(Γ). Specially, if G acts primitively on EΓ, then Γ is said to be G-edge-primitive. The edge-primitive graphs are an important kind of symmetric graphs. This paper studies the edge-primitive graphs via the construction of coset graphs and classifies all G-edge-primitive graphs of the almost simple group with socle PSL(3,4).

参考



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