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Bulletin of the London Mathematical Society Advance Access originally published online on December 15, 2006
Bulletin of the London Mathematical Society 2007 39(1):63-70; 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
rolf{at}math.uni-bielefeld.de

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.


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