Donovan’s conjecture and blocks with abelian defect groups
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- by Charles W. Eaton and Michael Livesey PDF
- Proc. Amer. Math. Soc. 147 (2019), 963-970 Request permission
Abstract:
We give a reduction of Donovan’s conjecture for abelian groups to a similar statement for quasisimple groups. Consequently we show that Donovan’s conjecture holds for abelian $2$-groups.References
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Additional Information
- Charles W. Eaton
- Affiliation: School of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom
- MR Author ID: 661066
- Email: charles.eaton@manchester.ac.uk
- Michael Livesey
- Affiliation: School of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom
- MR Author ID: 1105808
- Email: michael.livesey@manchester.ac.uk
- Received by editor(s): May 8, 2018
- Received by editor(s) in revised form: June 7, 2018
- Published electronically: November 5, 2018
- Additional Notes: This research was supported by the EPSRC (grant no. EP/M015548/1).
- Communicated by: Pham Huu Tiep
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 963-970
- MSC (2010): Primary 20C20; Secondary 16D90
- DOI: https://doi.org/10.1090/proc/14316
- MathSciNet review: 3896046