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Archiv der Mathematik

, Volume 82, Issue 5, pp 391–394 | Cite as

A remark on Donovan’s conjecture

  • R. KessarEmail author
Original paper

Abstract.

It is shown that the difference between Donovan’s conjecture and the weaker conjecture bounding Cartan numbers of blocks of finite groups by the defect of the blocks can be expressed in terms of the relationship between pairs of Galois conjugate blocks. A consequence is that for principal blocks the two conjectures are equivalent.

Mathematics Subject Classification (2000):

20C20 20C05. 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Department of MathematicsThe Ohio State UniversityColumbusU.S.A

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