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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
MIMS number:2009.66
Deposited By:Dr Charles Eaton
Deposited On:10 October 2009

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