Point regular normal subgroups of flag transitive automorphism groups of \(2\)-designs

DOI10.1006/aima.1996.0049zbMath0860.20002OpenAlexW2083778494MaRDI QIDQ1923999

Paul-Hermann Zieschang

Publication date: 14 April 1997

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

Full work available at URL: https://doi.org/10.1006/aima.1996.0049

zbMATH Keywords

automorphism groups of 2-designsnormal subgroups acting regularly on pointspoint regular normal subgroups

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Representations of groups as automorphism groups of algebraic systems (20F29) General block designs in finite geometry (51E05)

Related Items (5)

Flag-transitive and point-imprimitive symmetric designs with \(\lambda \leq 10\) ⋮ Flag-transitive block designs with automorphism group \(S_n w r S_2\) ⋮ Reduction for flag‐transitive point‐primitive 2‐(v, k, λ) designs with λ prime ⋮ Reduction for flag-transitive symmetric designs with \(k > \lambda(\lambda - 2)\) ⋮ Groups \(S_n \times S_m\) in construction of flag-transitive block designs

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