Morita equivalence classes of $2$-blocks of defect three
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- by Charles W. Eaton PDF
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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 Broué’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.References
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Additional Information
- Charles W. Eaton
- Affiliation: School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
- MR Author ID: 661066
- Email: charles.eaton@manchester.ac.uk
- Received by editor(s): September 30, 2014
- Received by editor(s) in revised form: January 24, 2015, March 26, 2015, and June 25, 2015
- Published electronically: October 14, 2015
- Communicated by: Pham Huu Tiep
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1961-1970
- MSC (2010): Primary 20C20
- DOI: https://doi.org/10.1090/proc/12886
- MathSciNet review: 3460159