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ÂÛÎıêÌâΪ Flag-transitive 2-(v, k, ¦Ë) symmetric designs with sporadic socle J. Combin. Des., 23(4), pp 140-150, 2015. ÍøÖ·£ºhttps://onlinelibrary.wiley.com/doi/10.1002/jcd.21385/abstract ÇóÆäÊÕ¼ºÅ£¬Ð»Ð»£¡£¡£¡ |
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https://apps.webofknowledge.com/ ... age=1&doc=1 Flag-Transitive 2-(v, k, lambda) Symmetric Designs with Sporadic Socle ×÷Õß:Tian, DL (Tian, Delu)[ 1,2 ] ; Zhou, SL (Zhou, Shenglin)[ 1 ] JOURNAL OF COMBINATORIAL DESIGNS ¾í: 23 ÆÚ: 4 Ò³: 140-150 DOI: 10.1002/jcd.21385 ³ö°æÄê: APR 2015 ²é¿´ÆÚ¿¯ÐÅÏ¢ JOURNAL OF COMBINATORIAL DESIGNS ³ö°æÉÌ WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA ISSN: 1063-8539 eISSN: 1520-6610 Ñо¿ÁìÓò Mathematics ÕªÒª Let D be a nontrivial 2-(v, k, lambda) 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 D must be one of the following: a 2-(144, 66, 30) design with G = M-12 or M-12 : 2, a 2-(176, 50, 14) design with G = HS, a 2-(176, 126, 90) design with G = M-22 or HS, or a 2-(14,080, 12,636, 11,340) design with G = Fi(22). (C) 2014 Wiley Periodicals, Inc. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:symmetric design; flag-transitive; point-primitive; sporadic simple group KeyWords Plus RIMITIVITY ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Tian, DL (ͨѶ×÷Õß) S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China. ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ South China University of Technology µØÖ·: [ 1 ] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ South China University of Technology [ 2 ] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China µç×ÓÓʼþµØÖ·:slzhou@scut.edu.cn »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ NSFC 11071081 NSF of Guangdong Province S2013010011928 ²é¿´»ù½ð×ÊÖúÐÅÏ¢¹Ø±Õ»ù½ð×ÊÖúÐÅÏ¢ Contract grant sponsor: NSFC; contract grant number: 11071081; contract grant sponsor: NSF of Guangdong Province; contract grant number: S2013010011928. ³ö°æÉÌ WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000350989600002 ISSN: 1063-8539 eISSN: 1520-6610 ÆäËûÐÅÏ¢ IDS ºÅ: CD3PA Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 20 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 Ó°ÏìÒò×Ó 0.657 0.605 2014 5 Äê JCR® Àà±ð Àà±ðÖеÄÅÅÐò JCR ·ÖÇø MATHEMATICS 131/310 Q2 Êý¾ÝÀ´×ÔµÚ 2014 °æ Journal Citation Reports® |
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