Israel Journal of Mathematics

, Volume 92, Issue 1–3, pp 295–306 | Cite as

Donovan’s conjecture, crossed products and algebraic group actions

  • Burkhard Külshammer


Donovan’s conjecture, on blocks of finite group algebras over an algebraically closed field of prime characteristicp, asserts that for any finitep-groupD, there are only finitely many Morita equivalence classes of blocks with defect groupD. The main result of this paper is a reduction theorem: It suffices to prove the conjecture for groups generated by conjugates ofD. A number of other finiteness results are proved along the way. The main tool is a result on actions of algebraic groups.


Equivalence Class Normal Subgroup Finite Group Algebraic Group Defect Group 
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Copyright information

© Hebrew University 1995

Authors and Affiliations

  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany

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