Eaton, Charles W. (2014) Morita equivalence classes of 2-blocks of defect three. [MIMS Preprint]
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Abstract
We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order $8$ and of the derived equivalences between them. A consequence is the verification of Brou\'e's abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of $2$-blocks of defect at most three defined over a suitable field.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Finite group, block, Morita equivalence, derived equivalence, representation theory |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Dr Charles Eaton |
| Date Deposited: | 25 Sep 2014 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2181 |
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