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Bulletin of the London Mathematical Society Advance Access published online on December 15, 2006

Bulletin of the London Mathematical Society, doi:10.1112/blms/bdl006
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© 2006 London Mathematical Society

Tameness and complexity of finite group schemes

Rolf Farnsteiner

Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31. 33501 Bielefeld, Germany

Received 14 July 2005. Revision received 24 April 2006.

Using a representation-theoretic interpretation of support varieties due to Friedlander and Pevtsova (Amer. J. Math. 127 (2005) 379–420; Erratum Amer. J. Math. 128 (2006) 1067–1068, we show that the complexity of tame blocks of finite group schemes is bounded by 2. In this context, our result salvages a theorem by Rickard (Bull. London Math. Soc. 22 (1990) 540–546), the proof of which is flawed.


Correspondence: rolf{at}math.uni-bielefeld.de


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