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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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.
|Uncontrolled Keywords:||block theory, vertex, vertices, simple module, modular representation theory|
|Subjects:||MSC 2000 > 20 Group theory and generalizations|
|Deposited By:||Dr Charles Eaton|
|Deposited On:||24 October 2005|