论文标题
特征p中简单模块的最大尺寸的下限
Lower bounds on the maximum dimension of a simple module in characteristic p
论文作者
论文摘要
我们获得了简单FG模块的最大尺寸的下限，其中G是有限的组，F是特征p的代数闭合场。边界是用G的p子组的属性来描述的。当P为2或P是Mersenne Prime时，由于此类素数出现的例外，边界会采取不同的形式。
We obtain lower bounds for the maximum dimension of a simple FG-module, where G is a finite group and F is an algebraically closed field of characteristic p. The bounds are described in terms of properties of p-subgroups of G. When p is 2 or p is a Mersenne prime, the bounds take a different form, due to exceptions which arise for such primes.
