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The Quarterly Journal of Mathematics Advance Access published online on March 16, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap013
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© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

PERIODIC MODULES OF DIMENSION p

Matthew Towers{dagger}

Mathematical Institute, University of Oxford, 24–29 St Giles, Oxford OX1 3LB, UK

{dagger} E-mail: towers{at}maths.ox.ac.uk

Received 16 September 2009;
  Abstract

We determine all finite p-groups G such that kG has periodic modules of dimension p, where k is an algebraically closed field of characteristic p, and obtain information about the period of these modules.


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