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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