论文标题
Glauberman的ZJ定理的变化
Variations on Glauberman's ZJ Theorem
论文作者
论文摘要
我们提供了格劳伯曼(Glauberman)的ZJ定理的新证明,其形式阐明了所涉及的选择并提供了比古典治疗更多的选择。特别是,我们分别介绍了$ p $ -group $ s $的两个新的ZJ型子组,分别包含$ zj_r(s)$和$ zj_o(s)$,并且通常严格更大。
We give a new proof of Glauberman's ZJ Theorem, in a form that clarifies the choices involved and offers more choices than classical treatments. In particular, we introduce two new ZJ-type subgroups of a $p$-group $S$, that contain $ZJ_r(S)$ and $ZJ_o(S)$ respectively and are often strictly larger.