2009.66: Perfect isometries and the Alperin-McKay conjecture
2009.66: Charles W. Eaton (2007) Perfect isometries and the Alperin-McKay conjecture. In: 39th Symposium on Ring Theory and Representation Theory, 16-18 September 2007, Hiroshima, Japan.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 243 Kb |
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 2000 > 20 Group theory and generalizations |
| MIMS number: | 2009.66 |
| Deposited By: | Dr Charles Eaton |
| Deposited On: | 10 October 2009 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item