The 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
AbstractPermutation groups transitive on unordered sets of t points are studied in relation to block...
AbstractLet k⩾3 be a fixed positive integer and (G, D) be a pair, where D is a 2−(v, k, 1) design an...
AbstractLet D be a 2-(v,k,1) design with a group G of automorphisms which is transitive on the block...
The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group....
Block-transitive Steiner t-designs form a central part of the study of highly symmetric combinatoria...
CombinatoricsBlock-transitive Steiner t-designs form a central part of the study of highly symmetric...
AbstractIn this paper, we study block transitive automorphism groups of 2-(v,k,1) block designs. Let...
AbstractIf G is a doubly transitive group of automorphisms of a block design with λ = 1, then for an...
AbstractPermutation groups transitive on unordered sets of t points are studied in relation to block...
The automorphism groups of each of the eight transitive 3-(12,6,4) designs and the three transitive ...
AbstractThis article is a contribution to the study of the automorphism groups of 2-(v,k,1) block de...
AbstractLet G be a block-transitive automorphism group of a 2-(v,k,1) design D. It has been shown th...
AbstractLet G be a transitive permutation group on a set Ω of v points {1, 2, …, v}. Let H be an int...
AbstractSome results on doubly transitive but not doubly primitive permutation groups are proved, gi...
A 2-(v, k, 1) design D = (P, B) is a system consisting of a finite set P of v points and a collectio...
AbstractPermutation groups transitive on unordered sets of t points are studied in relation to block...
AbstractLet k⩾3 be a fixed positive integer and (G, D) be a pair, where D is a 2−(v, k, 1) design an...
AbstractLet D be a 2-(v,k,1) design with a group G of automorphisms which is transitive on the block...
The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group....
Block-transitive Steiner t-designs form a central part of the study of highly symmetric combinatoria...
CombinatoricsBlock-transitive Steiner t-designs form a central part of the study of highly symmetric...
AbstractIn this paper, we study block transitive automorphism groups of 2-(v,k,1) block designs. Let...
AbstractIf G is a doubly transitive group of automorphisms of a block design with λ = 1, then for an...
AbstractPermutation groups transitive on unordered sets of t points are studied in relation to block...
The automorphism groups of each of the eight transitive 3-(12,6,4) designs and the three transitive ...
AbstractThis article is a contribution to the study of the automorphism groups of 2-(v,k,1) block de...
AbstractLet G be a block-transitive automorphism group of a 2-(v,k,1) design D. It has been shown th...
AbstractLet G be a transitive permutation group on a set Ω of v points {1, 2, …, v}. Let H be an int...
AbstractSome results on doubly transitive but not doubly primitive permutation groups are proved, gi...
A 2-(v, k, 1) design D = (P, B) is a system consisting of a finite set P of v points and a collectio...
AbstractPermutation groups transitive on unordered sets of t points are studied in relation to block...
AbstractLet k⩾3 be a fixed positive integer and (G, D) be a pair, where D is a 2−(v, k, 1) design an...
AbstractLet D be a 2-(v,k,1) design with a group G of automorphisms which is transitive on the block...
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