论文标题
Sylow子组的角色，换向因子和中心
Characters, Commutators and Centers of Sylow Subgroups
论文作者
论文摘要
有限组G的字符表确定| p：p'| = p^2是否| p：z（p）| = p^2，其中p是G的sylow p-subgroup。为了证明后者，我们根据概括性拟合子组对这些组进行了详细的分类。
The character table of a finite group G determines whether |P:P'|=p^2 and whether |P:Z(P)|=p^2, where P is a Sylow p-subgroup of G. To prove the latter, we give a detailed classification of those groups in terms of the generalized Fitting subgroup.
