The Mathieu GroupM12and Its Pseudogroup ExtensionM13

DOI10.1080/10586458.2006.10128958zbMath1112.20003arXivmath/0508630OpenAlexW2086464814MaRDI QIDQ3428101

Conway, John H., Noam D. Elkies, Jeremy L. Martin

Publication date: 27 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508630

zbMATH Keywords

Hadamard matricesGolay codeMathieu groupsfinite projective planes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Combinatorial codes (94B25) Multiply transitive finite groups (20B20)

Related Items (7)

Construction of the outer automorphism of \(\mathcal {S}_{6}\) via a complex Hadamard matrix ⋮ Conway’s groupoid and its relatives ⋮ On the enumeration of some D-optimal designs ⋮ The transitivity of Conway's \(M_{13}\) ⋮ Conway groupoids and completely transitive codes ⋮ Notes on generalized global symmetries in QFT ⋮ Friends and strangers walking on graphs

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