Flag‐Transitive 2‐ Symmetric Designs with Sporadic Socle |
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Authors: | Delu Tian Shenglin Zhou |
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Institution: | 1. Department of Mathematics, South China University of Technology, Guangdong, P. R. China;2. Department of Mathematics, Guangdong University of Education, Guangdong, P. R. China |
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Abstract: | Let be a nontrivial 2‐ symmetric design admitting a flag‐transitive, point‐primitive automorphism group G of almost simple type with sporadic socle. We prove that there are up to isomorphism six designs, and must be one of the following: a 2‐(144, 66, 30) design with or , a 2‐(176, 50, 14) design with , a 2‐(176, 126, 90) design with or , or a 2‐(14,080, 12,636, 11,340) design with . |
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Keywords: | symmetric design flag‐transitive point‐primitive sporadic simple groupMR(2000) Subject Classification 05B05 05B25 20B25 20D08 |
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