Vertices of simple modules for the symmetric groups in blocks of small weights.
type: Item
instance of: scholarly article
title: Vertices of simple modules for the symmetric groups in blocks of small weights.
zbMATH Open document ID: 1160.20008
author: Susanne Danz
author: René Zimmermann
published in: Beiträge zur Algebra und Geometrie
publication date: 2008-09-22T00:00:00Z
full work available at URL: https://eudml.org/doc/225639
full work available at URL: 9.html
review text: The authors determine the vertices and sources of the simple modules in 2-blocks of finite symmetric groups of weight \(w\leq 4\), and in 3-blocks of finite symmetric groups of weight \(w\leq 3\). Whereas the number of isomorphism classes of these simple modules depends only on the weight of the corresponding block, the vertices and sources of these simple modules also depend on the Scopes equivalence class of the block. Reviewer's remark: The one vertex which remained open in the paper under review, and its source have since been determined: [the authors and the reviewer, J. Algebra 320, No. 2, 680-707 (2008; Zbl 1161.20006)].
reviewed by: Burkhard Külshammer
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 5345497
zbMATH Keywords: blocks
zbMATH Keywords: defect groups
zbMATH Keywords: simple modules
zbMATH Keywords: sources
zbMATH Keywords: vertices
zbMATH Keywords: finite symmetric groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5345497