Frontiers of Mathematics in China >
Flag-transitive 2- designs with sporadic socle
Received date: 10 Jun 2020
Accepted date: 02 Nov 2020
Published date: 15 Dec 2020
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We state that the ag-transitive automorphism group of a 2- design is primitive of affine type or almost simple type. We also find that there are up to isomorphism 20 2- designs admitting flag-transitive automorphism groups with socle of a sporadic simple group.
Key words: 2-design; primitivity; flag-transitivity; sporadic simple group
Jiaxin SHEN , Shenglin ZHOU . Flag-transitive 2- designs with sporadic socle[J]. Frontiers of Mathematics in China, 2020 , 15(6) : 1201 -1210 . DOI: 10.1007/s11464-020-0876-3
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