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2005.2: A note on vertices of simple modules

2005.2: Charles W. Eaton (2005) A note on vertices of simple modules. Preprint, submitted for publication.

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Abstract

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 2000 > 20 Group theory and generalizations
MIMS number:2005.2
Deposited By:Dr Charles Eaton
Deposited On:24 October 2005

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