Local Subgroups of the Monster and Odd Code Loops

DOI10.2307/2154959zbMath0848.20010OpenAlexW2021926355MaRDI QIDQ4846081

Thomas M. Richardson

Publication date: 7 October 1996

Full work available at URL: https://doi.org/10.2307/2154959

zbMATH Keywords

Monsternormalizersloopselementary Abelian subgroupsself-orthogonal codes\(p\)-local subgroupssporadic simple group \(F_ 1\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Loops, quasigroups (20N05)

Related Items (7)

On extraspecial left conjugacy closed loops. ⋮ Code loops in dimension at most \(8\) ⋮ Code loops in both parities ⋮ Constructing the Monster amalgam. ⋮ Explicit representations of maximal subgroups of the Monster. ⋮ Elementary Abelian 3-subgroups of the Monster ⋮ Symmetric multilinear forms and polarization of polynomials

Cites Work

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• The complex Leech lattice and maximal subgroups of the Suzuki group
• A simple construction for the Fischer-Griess monster group
• Code loops
• Code loops and even codes over \({\mathbb{F}}_ 4\)
• Quaternions over \(Q(\sqrt5)\), Leech's lattice and the sporadic group of Hall-Janko
• The friendly giant
• Schur multipliers of some sporadic simple groups
• A form for \(M_{11}\)
• Combinatorial polarization
• Maximal subgroups of the Hall-Janko-Wales group
• A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variables
• A New Lattice for the Hall-Janko Group
• Uniqueness of the Fischer-Griess Monster
• A Correlation Between PSU 4 (3), the Suzuki Group, and the Conway Group

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