Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups

• 作 者: Yu Cheng YANG Shang Zhi LI
• 机 构: School of Mathematics and Systems Science,Beihang University,Beijing 100191,P.R.China
• 出 处: 数学学报（英文版）
• 发表日期: 2021年5期
• 关键词: Classical group over arbitrary field maximal subgroup solvable subgroup

Let G be a classical group over an arbitrary field F , acting on an n-dimensional vector space V = V (n, F ) over a field F . In this paper, we classify the maximal subgroups of G, which normalizes a solvable subgroup N of GL(n, F ) not lying in F?1V .