Broué's perfect isometry conjecture holds for the double covers of the symmetric and alternating groups

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• Michael Livesey, University of Manchester
• Thursday 10 December 2015, 16:00-17:00
• Watson Building, Lecture Room B.

If you have a question about this talk, please contact David Craven.

O. Brunat and J. Gramain recently proved that any two blocks of double covers of symmetric or alternating groups are Broué perfectly isometric provided they have the same weight and sign. They also proved ‘crossover’ isometries when they have opposite signs. Using both the results and methods of Brunat and Gramain we prove that when the weight of a block of a double cover of a symmetric or alternating group is less than p then the block is Broué perfectly isometric to its Brauer correspondent. This means that Broué’s perfect isometry conjecture holds for both these classes of groups.

This talk is part of the Algebra seminar series.

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• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room B

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