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