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SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE

Published online by Cambridge University Press:  15 March 2002

JOSEPH CHUANG
Affiliation:
Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW Joseph.Chuang@bris.ac.uk
RADHA KESSAR
Affiliation:
University College, Oxford OX1 4BH kessar@maths.ox.ac.uk
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Abstract

It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp [rmoust ] Sw. Combined with work of J. Rickard, this proves that Broué's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.

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© 2002 The London Mathematical Society

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SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
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