Flag‐Transitive Point‐Primitive Automorphism Groups of Nonsymmetric    2  −  (  v  ,  k  ,  2  )    Designs | Zendy

Liang Hongxue | Zendy; Zhou Shenglin | Zendy

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Flag‐Transitive Point‐Primitive Automorphism Groups of Nonsymmetric 2 − ( v , k , 2 ) Designs

Author(s) -

Liang Hongxue,

Zhou Shenglin

Publication year - 2016

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.21516

Subject(s) - mathematics , transitive relation , flag (linear algebra) , socle , automorphism , automorphism group , combinatorics , primitive permutation group , affine transformation , outer automorphism group , simple (philosophy) , inner automorphism , group (periodic table) , simple group , point (geometry) , discrete mathematics , pure mathematics , symmetric group , algebra over a field , geometry , chemistry , cyclic permutation , paleontology , philosophy , inversion (geology) , organic chemistry , epistemology , structural basin , biology

In this article, we show that if D is a nontrivial nonsymmetric 2 − ( v , k , 2 ) design admitting a flag‐transitive point‐primitive automorphism group G , then G must be an affine or almost simple group. Moreover, if the socle of G is sporadic, then D is the unique 2 − (176, 8, 2) design with G = H S , the Higman–Sims simple group.

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