Frontiers of Mathematics in China >
Flag-transitive 2-(v, k, λ) symmetric designs with (k, λ) = 1 and alternating socle
Received date: 21 Mar 2014
Accepted date: 19 Apr 2015
Published date: 12 Oct 2015
Copyright
Consider the flag-transitive 2-(v, k, λ) symmetric designs with (k, λ) = 1. We prove that if is a nontrivial 2-(v, k, λ) symmetric design with (k, λ) = 1 and G≤Aut() is flag-transitive with Soc(G) = An for n≥5, then is the projective space PG2(3,2) and G = A7.
Key words： Symmetric design; automorphism group; alternating group; flagtransitive
Yan ZHU , Haiyan GUAN , Shenglin ZHOU . Flag-transitive 2-(v, k, λ) symmetric designs with (k, λ) = 1 and alternating socle[J]. Frontiers of Mathematics in China, 2015 , 10(5) : 1483 -1496 . DOI: 10.1007/s11464-015-0480-0
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