Perfect isometries and the Alperin-McKay conjecture

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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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

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