On the existence of block-transitive Steiner designs with k divides v

QUAESTIONES MATHEMATICAE(2023)

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摘要
In this paper, we prove that there is no block-transitive 4-(v, k, 1) designs and 6-(v, k, 1) designs with k divides v.
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关键词
Block-transitive, flag-transitive, Steiner design, 2-homogenous
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