Vector stabilizers and subgroups of Leech lattice groups

DOI10.1016/0021-8693(89)90260-3zbMath0682.20010OpenAlexW2088462747MaRDI QIDQ1824028

Robert A. Wilson

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90260-3

zbMATH Keywords

maximal subgroupssporadic simple groupsautomorphism groupgraphsLeech latticestabilizerrational representationmaximal nonlocal subgroupsreduction modulo 2

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Modular representations and characters (20C20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items

On the binary codes of length 552 which admit the simple group Co₃ as a transitive permutation group ⋮ A projective two-weight code related to the simple group \(\mathrm{Co}_1\) of Conway ⋮ A new Euclidean tight 6-design ⋮ Maximal subgroups of sporadic groups ⋮ Some remarks on global/local conjectures ⋮ Some designs and codes invariant under the simple group Co\(_{2}\) ⋮ On some projective triply-even binary codes invariant under the Conway group ${\rm Co}_1$ ⋮ A useful tool for constructing linear codes ⋮ Universally optimal distribution of points on spheres

Cites Work

• Unnamed Item
• Unnamed Item
• The maximal subgroups of Conway's group. 2
• The maximal subgroups of Conway's group \(Co_ 1\)
• On the simple group of D.G. Higman and C.C. Sims
• A simple group of order 44,352,000
• A characterisation of Leech's lattice
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• Maximal Subgroups of Automorphism Groups of Simple Groups
• A Group of Order 8,315,553,613,086,720,000
• The subgroup structure of the Higman-Sims simple group