A note on vertices of simple modules

Eaton, Charles W. (2005) A note on vertices of simple modules. Preprint, submitted for publication. (Submitted)

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We generalize the results of [Bessenrodt 1984], showing that vertices of simple modules of blocks of the type studied in [Eaton 2005] are radical. This means that in order to identify simple modules whose vertices are not radical we must consider blocks 'involving' blocks of positive defect of non-abelian simple groups.

Item Type: Article
Uncontrolled Keywords: block theory, vertex, vertices, simple module, modular representation theory
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Dr Charles Eaton
Date Deposited: 24 Oct 2005
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2

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