Block-transitive 3-(v, k, 1) designs associated with alternating groups
نویسندگان
چکیده
Let $${\mathcal {D}}$$ be a nontrivial 3-(v, k, 1) design admitting block-transitive group G of automorphisms. A recent work Gan and the second author asserts that is either affine or almost simple. In this paper, it proved if simple with socle an alternating group, then unique 3-(10, 4, design, $$G=\textrm{PGL}(2,9)$$ , $$\textrm{M}_{10}$$ $$\textrm{Aut}(\textrm{A}_6 )=\textrm{S}_6:\textrm{Z}_2$$ flag-transitive.
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2023
ISSN: ['0925-1022', '1573-7586']
DOI: https://doi.org/10.1007/s10623-023-01215-7