3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
AbstractThe classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block-transitive 7–(v, k, 3) design and prove our main theorem: If the automorphism group of a 7–(v, k, 3) design is block-transitive, then it is neither isomorphic to Affine Type Groups nor Almost Simple Type Groups. View Full-Text
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Liao, X.; Chen, G.; Li, S. 3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs. Math. Comput. Appl. 2017, 22, 35.
Liao X, Chen G, Li S. 3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs. Mathematical and Computational Applications. 2017; 22(2):35.Chicago/Turabian Style
Liao, Xiaolian; Chen, Guohua; Li, Shangzhao. 2017. "3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs." Math. Comput. Appl. 22, no. 2: 35.
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