The block-transitive, point-imprimitive 2-(729,8,1) designs

DOI10.1007/BF01189023zbMath0766.05010OpenAlexW1995905778MaRDI QIDQ1197100

Cheryl E. Praeger, Alice C. Niemeyer, Christine M. O'Keefe, Tim Penttila, Werner Nickel

Publication date: 16 January 1993

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189023

zbMATH Keywords

classificationautomorphism grouppermutation groupblock-transitive designmachine computationDelandtsheer-Doyen upper bound

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General block designs in finite geometry (51E05) Software, source code, etc. for problems pertaining to combinatorics (05-04)

Related Items (9)

Delandtsheer-Doyen parameters for block-transitive point-imprimitive 2-designs ⋮ Block-transitive 2-designs with a chain of imprimitive point-partitions ⋮ Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\mathrm{gcd}(k, r)\) at most \(12\) ⋮ Block‐transitive automorphism groups of 2‐(v,k,λ) $(v,k,\lambda )$ designs with (r,k)=1 $(r,k)=1$ ⋮ Line-transitive point-imprimitive linear spaces with number of points being a product of two primes ⋮ Block-transitive, point-imprimitive designs with \(\lambda \Relbar 1\) ⋮ Classification of line-transitive point-imprimitive linear spaces with line size at most 12 ⋮ Finite line-transitive linear spaces: theory and search strategies ⋮ A note on block-transitive point-imprimitive designs

Uses Software

• GAP
• nauty
• Cayley

Cites Work

• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• Most block-transitive t-designs are point-primitive
• Varieties of groups
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The block-transitive, point-imprimitive 2-(729,8,1) designs