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

DOI10.1006/jabr.1999.8084zbMath0954.20026OpenAlexW2089593622MaRDI QIDQ1970978

Masaaki Kitazume

Publication date: 20 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8084

zbMATH Keywords

maximal subgroupsorthogonal groupsautomorphism groupstrilinear formsMoufang loops3-transposition groupsConway-Norton algebrasnon-split extensions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Loops, quasigroups (20N05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

The Fischer-Clifford Matrices and Character Table of a Maximal Subgroup of Fi₂₄

Cites Work

• The Conway-Norton algebras for \(\Omega ^ -(6,3)\), \(\Omega\) (7,3), \(F'_{24}\), and their full automorphism groups
• The 27-dimensional module for \(E_ 6\). I
• The friendly giant
• Nonassociative commutative algebras for triple covers of 3-transposition groups
• The second degree cohomology of finite orthogonal groups. I
• A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variables
• ON A SPECIAL LOOP, THE DICKSON FORM, AND THE LATTICE CONNECTED WITH $ O_7(3)$
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