Finite Locally-quasiprimitive Graphs  

作　　者：Shujiao Song Caiheng Li Dianjun Wang 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University Beijing 100084, China [2]Centre for the Mathematics of Symmetry and Computation School of Mathematics and Statistics The University of Western Australia Crawley 6009 WA, Australia

出　　处：《Algebra Colloquium》2014年第4期627-634,共8页代数集刊（英文版）

摘　　要：A graph F is called G-locally-quasiprimitive if each normal subgroup of Gv acts on F（v） trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such groups G, extending the previous results for locally-primitive graphs and vertex-transitive locally-quasiprimitive graphs.A graph F is called G-locally-quasiprimitive if each normal subgroup of Gv acts on F（v） trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such groups G, extending the previous results for locally-primitive graphs and vertex-transitive locally-quasiprimitive graphs.

关 键 词：locally-quasiprimitive EDGE-TRANSITIVE O＇Nan-Scott type 

分 类 号：O157.5[理学—数学] TP311.13[理学—基础数学]