A remark on Donovan's conjecture

R. Kessar

doi:10.1007/s00013-004-4880-8

A remark on Donovan's conjecture

R. Kessar

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	391-394
Number of pages	4
Journal	Archiv der Mathematik
Volume	82
Issue number	5
DOIs	https://doi.org/10.1007/s00013-004-4880-8
Publication status	Published - May 2004

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abstract = "It is shown that the difference between Donovan{\textquoteright}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.",

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A remark on Donovan's conjecture

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