论文标题
主要$ p $ blocks带有少量字符
The principal $p$-blocks with small numbers of characters
论文作者
论文摘要
对于Prime $ p $，我们确定一个有限的$ g $的Sylow $ p $ -subgroup $ d $，以便主要的$ p $ -p $ -bblock $ b $ $ g $具有四个不可约的普通字符。对于R. Brauer，J。Brandt和V.A.的工作最多三个的情况，已经确定了这一点。 Belonogov三十年前。我们的证明依赖于有限简单组的分类。
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 thirty years ago. Our proof relies on the classification of finite simple groups.
