Automorphism groups of designs with \(\lambda = 1\)

DOI10.1016/j.disc.2019.01.030zbMath1417.05023arXiv1805.12091OpenAlexW2922186762MaRDI QIDQ2317662

William M. Kantor

Publication date: 12 August 2019

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

Full work available at URL: https://arxiv.org/abs/1805.12091

zbMATH Keywords

designautomorphism group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other designs, configurations (05B30)

Related Items

Automorphism subgroups for designs with \(\lambda =1\) ⋮ Automorphism groups of Steiner triple systems

Cites Work

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• The Steiner quadruple systems of order 16
• The number of designs with geometric parameters grows exponentially
• Distorting symmetric designs
• On the existence of automorphism free Steiner triple systems
• On the groups of automorphisms of Steiner triple and quadruple systems
• Automorphisms and isomorphisms of symmetric and affine designs
• On the Minimum Order of Graphs with Given Group