On a maximal subgroup of the orthogonal group O⁺₈(3)

DOI10.22199/issn.0717-6279-4778zbMath1496.20013OpenAlexW4213184242MaRDI QIDQ5065614

Lydia N. Njuguna, Lucy Chikamai, David Mwanzia Musyoka, Abraham Love Prins

Publication date: 22 March 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4778

zbMATH Keywords

character tableFischer-Clifford matricessplit extensioncoset analysisinertia factorrestriction of charactersfusion map

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Maximal subgroups (20E28) Computational methods for problems pertaining to group theory (20-08)

Uses Software

• Magma
• ATLAS Group Representations

Cites Work

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• On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group \(Ly\).
• On the characters of \(2^{n-\epsilon}\cdot S_ n\)
• Fischer matrices for wreath products \(G \wr S_ n\)
• On a maximal subgroup \((2^9:(L_3(4)):3\) of the automorphism group \(U_6(2):3\) of \(U_6(2)\)
• A survey on Clifford-Fischer theory
• On a group of the form $3^{7}{:}Sp(6,2)$
• On a group of the form 2¹⁴:Sp(6, 2)
• The character table of an involution centralizer in the Dempwolff group 2^5·GL₅(2)
• On 2 nonsplit extension groups associated with HS and HS:2
• Group Characters and Normal Hall Subgroups

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