论文标题
有关Frobenius群体相关的Flavell定理的注释
A note on Flavell's theorem associated with Frobenius groups
论文作者
论文摘要
令G为frobenius kernel K.假设g包含一个非数量的子组D \ subseteq k k，使得归一化的n_g（d）\ not \ subseteqk。当d不是2组时，flavell证明，flavell证明了不使用gnemy理论的情况下，k是基于g。
Let G be a Frobenius group with the Frobenius kernel K. Suppose that G contains a nontrival subgroup D \subseteq K such that the normalizer N_G(D) \not\subseteq K. When D is no 2-group, Flavell proved, without using character theory, that K is a subgroup of G. Based on this result, we further prove that K is a subgroup when D is a 2-group.
