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.
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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|
|Deposited By:||Dr Charles Eaton|
|Deposited On:||10 October 2009|