The Conway-Norton algebras for \(\Omega ^ -(6,3)\), \(\Omega\) (7,3), \(F'_{24}\), and their full automorphism groups

DOI10.1007/BF01388910zbMath0624.20016OpenAlexW2028494559MaRDI QIDQ1092161

Masaaki Kitazume

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143455

zbMATH Keywords

automorphism groupinvolutionssimple group3-transpositionsConway-Norton algebras

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Representations of groups as automorphism groups of algebraic systems (20F29) Solvable, nilpotent (super)algebras (17B30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (1)

Some non-split extensions of the orthogonal group \(\Omega(7,3)\)

Cites Work

• Unnamed Item
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• On R. Griess' Friendly giant
• The friendly giant
• Characters and Schur indices of the unitary reflection group \([\;3\;2\;1\;^3\)]
• Finite groups with Sylow 2-subgroups of type \(\Omega(7,q)\), \(q\equiv\pm 3 (\mod B)\)
• On groups with a standard component of known type
• Nonassociative commutative algebras for triple covers of 3-transposition groups
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• Finite groups generated by 3-transpositions. I
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On maximal subgroups of the Fischer group Fi₂₂
• The Coxeter–Todd lattice, the Mitchell group, and related sphere packings
• Overgroups of Sylow subgroups in sporadic groups
• A Characterization of the finite simple group U₄(3)

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