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

Published in: Quaestiones Mathematicae
Volume 47 , issue 2 , 2024 , pages: 321–339

DOI: 10.2989/16073606.2023.2225756

Author(s): Zheng Huang Hunan University of Science and Technology, P.R. China , Weijun Liu Central South University, P.R. China , Lihua Feng Central South University, P.R. China

Keywords: Primary: 05B05 , Secondary: 20B25 , Block-transitive , flag-transitive , Steiner design , 2-homogenous

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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