On Cartan matrices and lower defect groups for covering groups of symmetric groups

DOI10.1090/S0002-9947-05-03809-2zbMath1097.20016MaRDI QIDQ5469201

Christine Bessenrodt, Jørn B. Olsson

Publication date: 17 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

generating functionssymmetric groupsCartan matricesdeterminantsblockscovering groupslower defect groups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (2)

Graded Cartan determinants of the symmetric groups ⋮ Maximal Strings in the Crystal Graph of Spin Representations of the Symmetric and Alternating Groups

Cites Work

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• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• On the \(p\)-blocks of symmetric and alternating groups and their covering groups
• Lower defect groups in symmetric groups
• Local structure of the p-blocks of \(\tilde S_ n\)
• Brauer coefficients of p-subgroups associated with a p-block of a finite group
• A note on Cartan matrices for symmetric groups.
• Cartan determinants and Shapovalov forms
• Defect groups in the theory of representations of finite groups
• On Certain Projective Modular Representations of Direct Products
• Blocks of Projective Representations of the Symmetric Groups
• Lower defect groups
• The Number of Modular Characters in Certain p -Blocks
• On the representation of the symmetric and alternating groups by fractional linear substitutions

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