The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs

DOI10.1016/S0012-365X(00)00050-9zbMath0960.05010OpenAlexW2033867819MaRDI QIDQ1586775

Shenglin Zhou, Wei-jun Liu, Hui-Ling Li

Publication date: 15 March 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(00)00050-9

zbMATH Keywords

automorphismblock designRee group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (16)

Almost simple groups with socle \(^{3} D_{4}( q )\) act on finite linear spaces ⋮ Minimal partition-free groups ⋮ The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs ⋮ Block-transitive \(3\)-\((v, k, 1)\) designs associated with alternating groups ⋮ Finite linear spaces admitting a two-dimensional projective linear group ⋮ Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even ⋮ Finite linear spaces admitting a Ree simple group. ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ The depth of the maximal subgroups of Ree groups ⋮ Line-transitive point-imprimitive linear spaces with number of points being a product of two primes ⋮ Block primitive 2-\((v,k,1)\) designs admitting a Ree group of characteristic two ⋮ Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12 ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ Suzuki groups and 2-\((v,k,1)\) designs ⋮ Block primitive \(2\)-\((v,k,1)\) designs admitting a Ree simple group ⋮ Finite projective planes admitting a projective linear group \(\operatorname{PSL}(2, q)\)

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