Source algebras of blocks, sources of simple modules, and a conjecture of Feit.

DOI10.1016/j.jalgebra.2011.12.013zbMath1281.20010arXiv1106.2949OpenAlexW2155540353WikidataQ123365709 ScholiaQ123365709MaRDI QIDQ441399

Susanne Danz, Jürgen Müller

Publication date: 23 August 2012

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

Full work available at URL: https://arxiv.org/abs/1106.2949

zbMATH Keywords

Weyl groupssymmetric groupssimple modulesalternating groupsPuig conjecturesource algebrasverticesdouble coverssourcesFeit conjecture

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Uses Software

• GAP
• Magma

Cites Work

• On the indecomposable representations of a finite group
• On the \(p\)-blocks of symmetric and alternating groups and their covering groups
• A note on the Green invariants in finite group modular representative theory.
• On vertices of simple modules for symmetric groups of small degrees.
• The vertices and sources of the basic spin module for the symmetric group in characteristic 2.
• Block source algebras in \(p\)-solvable groups.
• Lower defect groups in symmetric groups
• Local structure of the p-blocks of \(\tilde S_ n\)
• The Green correspondents of simple group modules
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the vertices of irreducible modules
• Blocks and source algebras for the double covers of the symmetric and alternating groups
• The Magma algebra system. I: The user language
• Some indecomposable modules and their vertices
• Green vertices and sources of simple modules of the symmetric group labelled by hook partitions.
• Vertices of Small Order for Simple Modules of Finite Symmetric Groups
• Spin Modules for Symmetric Groups
• Principal blocks of groups with dihedral sylow 2-subgroups
• On 2-Blocks with Semidihedral Defect Groups
• Blocks and Simple Modules with Cyclic Vertices
• Equivalences for blocks of the Weyl groups
• Scopes reduction for blocks of finite alternating groups
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