The projective character tables of a solvable group \(2^6:(6\times 2)\)

DOI10.1155/2019/8684742zbMath1486.20008OpenAlexW2990222500MaRDI QIDQ2292327

Abraham Love Prins

Publication date: 3 February 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/8684742

zbMATH Keywords

Galois fieldChevalley-Dickson simple groupFischer-Clifford theory

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

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Uses Software

• GAP
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• MathOverflow

Cites Work

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• Fischer-Clifford matrices and character table of the maximal subgroup \((2^9 :(L_3(4)) : 2\) of \(U_6(2) : 2\)
• A survey on Clifford-Fischer theory
• The Fischer-Clifford Matrices and Character Table of a Maximal Subgroup of Fi₂₄
• On Certain Groups associated with the Smallest Fischer Group
• Projective Characters of Finite Groups
• On the Centre of a Representation Group
• The Fischer-Clifford matrices of a maximal subgroup of 𝐹𝑖′₂₄
• THE FISCHER-CLIFFORD MATRICES OF THE GROUP 2⁶: SP ₆(2)
• The character table of an involution centralizer in the Dempwolff group 2^5·GL₅(2)