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The Quarterly Journal of Mathematics Advance Access published online on October 30, 2007
The Quarterly Journal of Mathematics, doi:10.1093/qmath/ham043
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

ALPERIN'S CONJECTURE FOR ALGEBRAIC GROUPS

Gerhard Röhrle{dagger}

Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstrasse 150, D-44780 Bochum, Germany

Raphaël Rouquier {ddagger}

Mathematics Institute, University of Oxford, 24–29 St Giles’, Oxford OX1 3LB

{dagger} Corresponding author. E-mail: gerhard.roehrle{at}rub.de


  Abstract

We prove analogues for reductive algebraic groups of some results for finite groups due to Knörr and Robinson from ‘Some remarks on a conjecture of Alperin’, J. London Math. Soc (2) 39 (1989), 48–60, which play a central rôle in their reformulation of Alperin's conjecture for finite groups.

{ddagger} E-mail: rouquier{at}maths.ox.ac.uk


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