Vertices of Small Order for Simple Modules of Finite Symmetric Groups

DOI10.1142/S1005386710000106zbMath1206.20011MaRDI QIDQ3656792

Burkhard Külshammer, Susanne Danz

Publication date: 14 January 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1701/S1005386710000106.html

zbMATH Keywords

symmetric groupsdefect groupsblockssimple modulesverticessources

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items

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

Cites Work

• On vertices of simple modules for symmetric groups of small degrees.
• Lower defect groups in symmetric groups
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the vertices of irreducible modules
• The representation theory of the symmetric groups
• Green vertices and sources of simple modules of the symmetric group labelled by hook partitions.
• Blocks and Simple Modules with Cyclic Vertices