The Leech lattice Λ and the Conway group ⋅𝑂 revisited

DOI10.1090/S0002-9947-09-04726-6zbMath1222.20006OpenAlexW2011052296MaRDI QIDQ3550538

Robert T. Curtis, John N. Bray

Publication date: 31 March 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04726-6

zbMATH Keywords

Leech latticeMathieu groupsConway groupdouble coset enumerationsymmetric generation

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Relationship to Lie algebras and finite simple groups (11F22) Lattices and convex bodies (number-theoretic aspects) (11H06) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (3)

Symmetric representation of the elements of the Conway group \(.0\). ⋮ Symmetric generation of M₂₂ ⋮ Symmetric presentations of Coxeter groups

Uses Software

• Magma

Cites Work

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• Non-abelian representations of some sporadic geometries
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• A characterisation of Leech's lattice
• A new combinatorial approach to M₂₄
• Double coset enumeration of symmetrically generated groups
• A systematic approach to symmetric presentations. I. Involutory generators
• Notes on Sphere Packings
• A Group of Order 8,315,553,613,086,720,000
• A PERFECT GROUP OF ORDER 8,315,553,613,086,720,000 AND THE SPORADIC SIMPLE GROUPS

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