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Block-Transitive 4-(<i>v</i>,<i>k</i>,4) Designs and Ree Groups
Department of Mathematics, Tianjin Polytechnic University, Tianjin, China
Department of Mathematics, Tianjin University of Science and Technology, Tianjin, China
- 1 Department of Mathematics, Tianjin Polytechnic University, Tianjin, China
- 2 Department of Mathematics, Tianjin University of Science and Technology, Tianjin, China
Advances in Pure Mathematics·Volume 06 (2016)·Pages 317–320·Published 31 March 2016·DOI10.4236/apm.2016.65022
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Abstract
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.
KeywordsFlag-TransitiveBlock-Transitivet-DesignRee Group
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