The complex Leech lattice and maximal subgroups of the Suzuki group

DOI10.1016/0021-8693(83)90074-1zbMath0527.20011OpenAlexW2034799254WikidataQ56018636 ScholiaQ56018636MaRDI QIDQ595776

Robert A. Wilson

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90074-1

zbMATH Keywords

codesdouble coset representativeslocal subgroupsmaximal subgroups of Suzuki groupstabilizer of complex Leech lattice

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Series and lattices of subgroups (20D30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (23)

Rational rigidity and the sporadic groups ⋮ Representations of finite groups ⋮ On the 3-local subgroups of Conway's group \(Co_ 1\) ⋮ Factorisations of sporadic simple groups. ⋮ Non-simple groups which are the product of simple groups ⋮ The maximal subgroups of Conway's group \(Co_ 1\) ⋮ The complex Lorentzian Leech lattice and the bimonster ⋮ Maximal subgroups of sporadic groups ⋮ Finite groups ⋮ Local Subgroups of the Monster and Odd Code Loops ⋮ Generators for a complex hyperbolic braid group ⋮ Octonions and the Leech lattice ⋮ On fixed point sets and Lefschetz modules for sporadic simple groups. ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Conway's group and octonions ⋮ Automorphisms and periods of cubic fourfolds ⋮ The quasisimple case of the \(k(GV)\)-conjecture ⋮ Third homology of some sporadic finite groups ⋮ A new complex reflection group in \(PU(9,1)\) and the Barnes-Wall lattice ⋮ Finite simple groups and localization ⋮ Classification of \(2F\)-modules. I ⋮ Minimal parabolic geometries for the sporadic groups ⋮ Factorizations of the sporadic simple groups

Cites Work

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• Maximal subgroups of \(G_2(2^n)\)
• The quanternionic lattice for \(2G_ 2(\)4) and its maximal subgroups
• A characterization of the sporadic simple group of Suzuki
• A characterization of the Suzuki sporadic simple group of order 448,345,497,600
• The irreducible characters of the simple group of M. Suzuki of order 448, 345, 497, 600
• Maximal subgroups of the Hall-Janko-Wales group
• A Group of Order 8,315,553,613,086,720,000
• A Correlation Between PSU 4 (3), the Suzuki Group, and the Conway Group

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