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Flag-transitive 2-(v, k, ¦Ë) symmetric designs with sporadic socle
J. Combin. Des., 23(4), pp 140-150, 2015.
꿅᣼https://onlinelibrary.wiley.com/doi/10.1002/jcd.21385/abstract
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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

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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



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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.

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×÷Õ߹ؼü´Ê:symmetric design; flag-transitive; point-primitive; sporadic simple group

KeyWords PlusRIMITIVITY

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ͨ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

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NSFC  11071081  
NSF of Guangdong Province  S2013010011928  
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Contract grant sponsor: NSFC; contract grant number: 11071081; contract grant sponsor: NSF of Guangdong Province; contract grant number: S2013010011928.

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WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA

Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics

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ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000350989600002

ISSN: 1063-8539

eISSN: 1520-6610

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IDS ºÅ: CD3PA

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 20

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0

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JCR® Àà±ð Àà±ðÖеÄÅÅÐò JCR ·ÖÇø
MATHEMATICS  131/310  Q2


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