Permutation groups on unordered sets. II: On a theorem of Frucht

DOI10.1016/0012-365X(93)90073-3zbMath0793.20002OpenAlexW2043592003MaRDI QIDQ685555

Johannes Siemons

Publication date: 14 August 1994

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90073-3

zbMATH Keywords

blocks\(k\)-geometric permutation group\(k\)-geometricallyautomorphism groups of block geometriesfaithful permutation representationFrucht number

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General theory for finite permutation groups (20B05) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22)

Cites Work

• Unnamed Item
• Regular sets and geometric groups
• Regular sets for the affine and projective groups over the field of two elements
• The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of characteristic 2.
• On Graphs Whose Full Automorphism Group is an Alternative Group or a Finite Classical Group
• The classification of minimal graphs with given abelian automorphism group

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