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Block-Transitive 4-(v,k,4) Designs and Ree Groups

Block-Transitive 4-(v,k,4) Designs and Ree Groups
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摘要 This article is a contribution to the study of the automorphism groups of  designs. Let be a non-trivial  design where for some positive integer , and  is block-transitive. If the socle of G is isomorphic to the simple groups of lie type, then G is not flag-transitive. This article is a contribution to the study of the automorphism groups of  designs. Let be a non-trivial  design where for some positive integer , and  is block-transitive. If the socle of G is isomorphic to the simple groups of lie type, then G is not flag-transitive.
作者 Shaojun Dai Ruihai Zhang Shaojun Dai;Ruihai Zhang(Department of Mathematics, Tianjin Polytechnic University, Tianjin, China;Department of Mathematics, Tianjin University of Science and Technology, Tianjin, China)
出处 《Advances in Pure Mathematics》 2016年第5期317-320,共4页 理论数学进展(英文)
关键词 FLAG-TRANSITIVE BLOCK-TRANSITIVE T-DESIGN Ree Group Flag-Transitive Block-Transitive t-Design Ree Group
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