A remark on Donovan’s conjecture

A remark on Donovan’s conjecture
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DOI:
10.1007/s00013-004-4880-8
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发表时间:
2004
影响因子:
0.6
通讯作者:
R. Kessar
R. Kessar
中科院分区:
数学4区
文献类型:
--
作者:
R. Kessar

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抽象的。证明了Donovan猜想与较弱的 关于有限群块的Cartan数界的一个猜想 块可以用伽罗瓦对之间的关系来表示, 共轭块一个结果是,对于主块, 是等价的。
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.