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The principal p-blocks with four irreducible characters
Bulletin of the London Mathematical Society ( IF 0.9 ) Pub Date : 2021-03-22 , DOI: 10.1112/blms.12488
Shigeo Koshitani 1 , Taro Sakurai 2
Affiliation  

For a prime p , we determine a Sylow p -subgroup D of a finite group G such that the principal p -block B of G has four irreducible ordinary characters. It has been determined already for the cases where the number is up to three by work by R. Brauer, J. Brandt, and V.A. Belonogov 30 years ago. Our proof relies on the classification of finite simple groups.

中文翻译:

具有四个不可约字符的主要 p 块

对于素数 ,我们确定一个 Sylow -子组 D 有限群的 以至于校长 -块 有四个不可约的普通字符。30 年前,R. Brauer、J. Brandt 和 VA Belonogov 已经确定了数量最多为 3 的情况。我们的证明依赖于有限单群的分类。
更新日期:2021-03-22
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