Note: The existence and construction of a family of block-transitive 2-(v,6,1) designs

Authors:
Ding Shifeng
Affiliations:
Department of Mathematics, Central South University, Changsha, Hunan 410083, PR China
Venue:
Journal of Combinatorial Theory Series A
Year:
2009

Citing 5
Cited 0

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Unsolvable block transitive automorphism groups of 2-(v,5,1) designs

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Abstract

Let G be a block-transitive automorphism group of a 2-(v,k,1) design D. It has been shown that the pairs (G,D) fall into three classes: those where G is unsolvable and is flag-transitive, those where G is a subgroup of A@CL(1,q), and those where G is solvable and is of small order. Not much is known about the latter two classes. In this paper, we investigate the existence of 2-(v,6,1) designs admitting a block-transitive automorphism group G