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

DOI10.1142/S1005386710000386zbMath1195.20013OpenAlexW1976801426MaRDI QIDQ3578436

Jamshid Moori, Faryad Ali

Publication date: 20 July 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1703/S1005386710000386.html

zbMATH Keywords

conjugacy classescharacter tablesmaximal 3-local subgroupsFischer-Clifford matrices3-transposition groupsnon-split extensionsFischer group \(Fi_{24}\)

Mathematics Subject Classification ID

Related Items (4)

On A Group Involving The Automorphism of The Janko Group J2 ⋮ Fischer-Clifford matrices of \(2^8{:}(U_4(2){:}2)\) as a subgroup of \(O_{10}^+(2)\) ⋮ The projective character tables of a solvable group \(2^6:(6\times 2)\) ⋮ The character table of an involution centralizer in the Dempwolff group 2^5·GL₅(2)

Uses Software

• GAP
• Magma

Cites Work

• The friendly giant
• The second degree cohomology of finite orthogonal groups. I
• Some non-split extensions of the orthogonal group \(\Omega(7,3)\)
• A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variables
• The Fischer-Clifford matrices of a maximal subgroup of 𝐹𝑖′₂₄
• The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups

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