论文标题
具有2生成Sylow子组及其角色表的组
Groups with 2-generated Sylow subgroups and their character tables
论文作者
论文摘要
令G为带有Sylow p-Subgroup的有限组P。我们显示G的字符表确定P是否具有最大的Nilpotency类别，以及P是否是最小的非阿布尔组。后一个结果是从相应组G的精确分类中从其组成因子方面获得的。对于p限制组G，我们进一步证明了字符表确定P两个元素是否可以生成P。
Let G be a finite group with Sylow p-subgroup P. We show that the character table of G determines whether P has maximal nilpotency class and whether P is a minimal non-abelian group. The latter result is obtained from a precise classification of the corresponding groups G in terms of their composition factors. For p-constrained groups G we prove further that the character table determines whether P can be generated by two elements.
