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The structure of transitive ordered permutation groups
Authors:Zhu Zuo-Tong  Huang Zhenyu
Institution:(1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, People's Republic of China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, People's Republic of China
Abstract:We give some necessary and sufficient conditions for transitive l-permutation groups to be 2-transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l-permutation groups to be normal-valued.
Keywords:transitive l-permutation group  stabilizer subgroup  primitive component  normal-valued l-group
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