TY - JOUR T1 - Locally Transitive Graphs Admitting a Group with Cyclic Sylow Subgroups AU - Chen , Shangdi AU - Feng , Qinglin JO - Communications in Mathematical Research VL - 3 SP - 239 EP - 254 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19159.html KW - graph, locally-transitive-graph, Sylow subgroup, cyclic group. AB -
All graphs are finite simple undirected and of no isolated vertices in this paper. Using the theory of coset graphs and permutation groups, it is completed that a classification of locally transitive graphs admitting a non-Abelian group with cyclic Sylow subgroups. They are either the union of the family of arc-transitive graphs, or the union of the family of bipartite edge-transitive graphs.