Eaton, Charles W. (2007) Perfect isometries and the Alperin-McKay conjecture. In: 39th Symposium on Ring Theory and Representation Theory, 16-18 September 2007, Hiroshima, Japan.
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Abstract
We give a brief survey of results and conjectures concerning the local determination of invariants of Brauer p-blocks of finite groups. We highlight the connections between the various conjectures, in particular those of Alperin-McKay and of Broue, and identify where further conjectures have to be made. We focus on the problem of generalising Broue's conjecture, and suggest a generalisation of the idea of a perfect isometry. Finally we present evidence that such a generalised perfect isometry should exist in certain cases.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Dr Charles Eaton |
| Date Deposited: | 10 Oct 2009 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1325 |
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