Non-Existence of Point-transitive 2-(106, 6, 1) Designs Haiyan Guan Shenglin Zhou DOI: https://doi.org/10.37236/3519 Keywords: linear space, design, point-transitive Abstract Let $\mathcal{S}$ be a linear space with 106 points, with lines of size 6, and let $G$ be an automorphism group of $\mathcal{S}$. We prove that $G$ cannot be point-transitive. In other words, there exists no point-transitive 2-(106, 6, 1) designs. PDF Published 2014-03-17 Issue Volume 21, Issue 1 (2014) Article Number P1.58