Flag-Transitive 2-(v,k,λ) Symmetric Designs with Sporadic Socle

Let D be a nontrivial 2‐(v,k,λ) 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=M12 or M12:2, a 2‐(...

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Bibliographic Details
Published inJournal of combinatorial designs Vol. 23; no. 4; pp. 140 - 150
Main Authors Tian, Delu, Zhou, Shenglin
Format Journal Article
LanguageEnglish
Published Hoboken Blackwell Publishing Ltd 01.04.2015
Wiley Subscription Services, Inc
Subjects
05B25
20B25
20D08
flag-transitive
point-primitive
sporadic simple groupMR Subject Classification 05B05
symmetric design
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Summary:Let D be a nontrivial 2‐(v,k,λ) 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=M12 or M12:2, a 2‐(176, 50, 14) design with G=HS, a 2‐(176, 126, 90) design with G=M22 or HS, or a 2‐(14,080, 12,636, 11,340) design with G=Fi22.
Bibliography:istex:5BB3E9E1DB5567F71C371E41615AAF0FE444DC6B
ark:/67375/WNG-41833Q0Z-7
ArticleID:JCD21385
NSF of Guangdong Province - No. S2013010011928
NSFC - No. 11071081
Contract grant sponsor: NSFC; contract grant number: 11071081; contract grant sponsor: NSF of Guangdong Province; contract grant number: S2013010011928.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1063-8539
1520-6610
DOI:10.1002/jcd.21385